Page 1 of 12 Pages

                                 UNITED STATES
                      SECURITIES AND EXCHANGE COMMISSION
                            Washington, D.C.  20549

                                 SCHEDULE 13G

                   Under the Securities Exchange Act of 1934
                               (Amendment No. 5)*

                                    DSW Inc.
             -----------------------------------------------------
                                (Name of Issuer)

                                  Class A Common
             -----------------------------------------------------
                         (Title of Class of Securities)

                                    23334L102
             -----------------------------------------------------
                                 (CUSIP Number)


Check the following box if a fee is being paid with this statement [ ].
(A fee is not required only if the filing person:  (1) has a previous statement
on file reporting beneficial ownership of more than five percent of the class
of securities described in Item 1; and (2) has filed no amendment subsequent
thereto reporting beneficial ownership of five percent or less of such class.)
(See Rule 13d-7.)

*The remainder of this cover page shall be filled out for a reporting person's
initial filing on this form with respect to the subject class of securities,
and for any subsequent amendment containing information which would alter the
disclosures provided in a prior cover page.

The information required in the remainder of this cover page shall not be
deemed to be "filed" for the purpose of Section 18 of the Securities Exchange
Act of 1934 ("Act") or otherwise subject to the liabilities of that section of
the Act but shall be subject to all other provisions of the Act (however, see
the Notes).



                                            Page 2 of 12 Pages

      Schedule 13G Amendment No. 5(continued)

CUSIP No. 23334L102
--------------------------------------------------------------------------------
   1   NAME OF REPORTING PERSON
       S.S. OR I.R.S. IDENTIFICATION NO. OF ABOVE PERSON

       Baron Capital Group, Inc.
--------------------------------------------------------------------------------
   2   CHECK THE APPROPRIATE BOX IF A MEMBER OF A GROUP*
                                                             (a)  [ ]
                                                             (b)  [ ]
--------------------------------------------------------------------------------
   3   SEC USE ONLY


--------------------------------------------------------------------------------
   4   CITIZENSHIP OR PLACE OF ORGANIZATION

       New York
--------------------------------------------------------------------------------
   NUMBER OF      5    SOLE VOTING POWER
     SHARES                    0
  BENEFICIALLY    --------------------------------------------------------------
    OWNED BY      6    SHARED VOTING POWER
      EACH             1,617,666
   REPORTING      --------------------------------------------------------------
     PERSON       7    SOLE DISPOSITIVE POWER
      WITH                     0
                  --------------------------------------------------------------
                  8    SHARED DISPOSITIVE POWER
                       1,756,166
--------------------------------------------------------------------------------
   9   AGGREGATE AMOUNT BENEFICIALLY OWNED BY EACH REPORTING PERSON

       1,756,166
--------------------------------------------------------------------------------
  10   CHECK BOX IF THE AGGREGATE AMOUNT IN ROW (9) EXCLUDES CERTAIN SHARES*


--------------------------------------------------------------------------------
  11   PERCENT OF CLASS REPRESENTED BY AMOUNT IN ROW (9)

       10.8%
--------------------------------------------------------------------------------
  12   TYPE OF REPORTING PERSON*

       HC, CO
--------------------------------------------------------------------------------
                     *SEE INSTRUCTIONS BEFORE FILLING OUT



                                            Page 3 of 12 Pages

      Schedule 13G Amendment No. 5(continued)

CUSIP No. 23334L102
--------------------------------------------------------------------------------
   1   NAME OF REPORTING PERSON
       S.S. OR I.R.S. IDENTIFICATION NO. OF ABOVE PERSON

       BAMCO, Inc.
--------------------------------------------------------------------------------
   2   CHECK THE APPROPRIATE BOX IF A MEMBER OF A GROUP*
                                                             (a)  [ ]
                                                             (b)  [ ]
--------------------------------------------------------------------------------
   3   SEC USE ONLY


--------------------------------------------------------------------------------
   4   CITIZENSHIP OR PLACE OF ORGANIZATION

       New York
--------------------------------------------------------------------------------
   NUMBER OF      5    SOLE VOTING POWER
     SHARES                   0
  BENEFICIALLY    --------------------------------------------------------------
    OWNED BY      6    SHARED VOTING POWER
      EACH             1,455,666
   REPORTING      --------------------------------------------------------------
     PERSON       7    SOLE DISPOSITIVE POWER
      WITH                    0
                  --------------------------------------------------------------
                  8    SHARED DISPOSITIVE POWER
                       1,584,166
--------------------------------------------------------------------------------
   9   AGGREGATE AMOUNT BENEFICIALLY OWNED BY EACH REPORTING PERSON

       1,584,166
--------------------------------------------------------------------------------
  10   CHECK BOX IF THE AGGREGATE AMOUNT IN ROW (9) EXCLUDES CERTAIN SHARES*


--------------------------------------------------------------------------------
  11   PERCENT OF CLASS REPRESENTED BY AMOUNT IN ROW (9)

       1.0%
--------------------------------------------------------------------------------
  12   TYPE OF REPORTING PERSON*

       IA, CO
--------------------------------------------------------------------------------
                     *SEE INSTRUCTIONS BEFORE FILLING OUT



                                            Page 4 of 12 Pages

      Schedule 13G Amendment No. 5(continued)

CUSIP No. 23334L102
--------------------------------------------------------------------------------
   1   NAME OF REPORTING PERSON
       S.S. OR I.R.S. IDENTIFICATION NO. OF ABOVE PERSON

       Baron Capital Management, Inc.
--------------------------------------------------------------------------------
   2   CHECK THE APPROPRIATE BOX IF A MEMBER OF A GROUP*
                                                             (a)  [ ]
                                                             (b)  [ ]
--------------------------------------------------------------------------------
   3   SEC USE ONLY


--------------------------------------------------------------------------------
   4   CITIZENSHIP OR PLACE OF ORGANIZATION

       New York
--------------------------------------------------------------------------------
   NUMBER OF      5    SOLE VOTING POWER
     SHARES                 0
  BENEFICIALLY    --------------------------------------------------------------
    OWNED BY      6    SHARED VOTING POWER
      EACH            162,000
   REPORTING      --------------------------------------------------------------
     PERSON       7    SOLE DISPOSITIVE POWER
      WITH                  0
                  --------------------------------------------------------------
                  8    SHARED DISPOSITIVE POWER
                      172,000
--------------------------------------------------------------------------------
   9   AGGREGATE AMOUNT BENEFICIALLY OWNED BY EACH REPORTING PERSON

      172,000
--------------------------------------------------------------------------------
  10   CHECK BOX IF THE AGGREGATE AMOUNT IN ROW (9) EXCLUDES CERTAIN SHARES*


--------------------------------------------------------------------------------
  11   PERCENT OF CLASS REPRESENTED BY AMOUNT IN ROW (9)

       1.1%
--------------------------------------------------------------------------------
  12   TYPE OF REPORTING PERSON*

       IA, CO
--------------------------------------------------------------------------------
                     *SEE INSTRUCTIONS BEFORE FILLING OUT




                                            Page 5 of 12 Pages

      Schedule 13G Amendment No. 5(continued)

CUSIP No. 23334L102
--------------------------------------------------------------------------------
   1   NAME OF REPORTING PERSON
       S.S. OR I.R.S. IDENTIFICATION NO. OF ABOVE PERSON

       Baron Growth Fund
--------------------------------------------------------------------------------
   2   CHECK THE APPROPRIATE BOX IF A MEMBER OF A GROUP*
                                                             (a)  [ ]
                                                             (b)  [ ]
--------------------------------------------------------------------------------
   3   SEC USE ONLY


--------------------------------------------------------------------------------
   4   CITIZENSHIP OR PLACE OF ORGANIZATION

       USA
--------------------------------------------------------------------------------
   NUMBER OF      5    SOLE VOTING POWER
     SHARES                     0
  BENEFICIALLY    --------------------------------------------------------------
    OWNED BY      6    SHARED VOTING POWER
      EACH              1,091,096
   REPORTING      --------------------------------------------------------------
     PERSON       7    SOLE DISPOSITIVE POWER
      WITH                      0
                  --------------------------------------------------------------
                  8    SHARED DISPOSITIVE POWER
                        1,091,096
--------------------------------------------------------------------------------
   9   AGGREGATE AMOUNT BENEFICIALLY OWNED BY EACH REPORTING PERSON

      1,091,096
--------------------------------------------------------------------------------
  10   CHECK BOX IF THE AGGREGATE AMOUNT IN ROW (9) EXCLUDES CERTAIN SHARES*


--------------------------------------------------------------------------------
  11   PERCENT OF CLASS REPRESENTED BY AMOUNT IN ROW (9)

       6.7%
--------------------------------------------------------------------------------
  12   TYPE OF REPORTING PERSON*

       IV
--------------------------------------------------------------------------------
                     *SEE INSTRUCTIONS BEFORE FILLING OUT



                                            Page 6 of 12 Pages

      Schedule 13G Amendment No. 5(continued)

CUSIP No. 23334L102
--------------------------------------------------------------------------------
   1   NAME OF REPORTING PERSON
       S.S. OR I.R.S. IDENTIFICATION NO. OF ABOVE PERSON

       Ronald Baron
--------------------------------------------------------------------------------
   2   CHECK THE APPROPRIATE BOX IF A MEMBER OF A GROUP*
                                                             (a)  [ ]
                                                             (b)  [ ]
--------------------------------------------------------------------------------
   3   SEC USE ONLY


--------------------------------------------------------------------------------
   4   CITIZENSHIP OR PLACE OF ORGANIZATION

       USA
--------------------------------------------------------------------------------
   NUMBER OF      5    SOLE VOTING POWER
     SHARES                    0
  BENEFICIALLY    --------------------------------------------------------------
    OWNED BY      6    SHARED VOTING POWER
      EACH             1,617,660
   REPORTING      --------------------------------------------------------------
     PERSON       7    SOLE DISPOSITIVE POWER
      WITH                     0
                  --------------------------------------------------------------
                  8    SHARED DISPOSITIVE POWER
                       1,756,166
--------------------------------------------------------------------------------
   9   AGGREGATE AMOUNT BENEFICIALLY OWNED BY EACH REPORTING PERSON

       1,756,166
--------------------------------------------------------------------------------
  10   CHECK BOX IF THE AGGREGATE AMOUNT IN ROW (9) EXCLUDES CERTAIN SHARES*


--------------------------------------------------------------------------------
  11   PERCENT OF CLASS REPRESENTED BY AMOUNT IN ROW (9)

       10.8%
--------------------------------------------------------------------------------
  12   TYPE OF REPORTING PERSON*

       HC, IN
--------------------------------------------------------------------------------
                     *SEE INSTRUCTIONS BEFORE FILLING OUT



                                            Page 7 of 12 Pages

Item 1.

        (a)  Name of Issuer:
             DSW Inc.

        (b)  Address of Issuer's Principal Executive Offices:
             810 DSW Drive
             Columbus, OH 43219

Item 2.

        (a)  Name of Persons Filing:
             Baron Capital Group, Inc. ("BCG")
             BAMCO, Inc. ("BAMCO")
             Baron Capital Management, Inc. ("BCM")
             Baron Growth Fund ("BGF")
             Ronald Baron
        (b)  Address of Principal Business Office:
               767 Fifth Avenue
               New York, NY 10153
        (c)  Citizenship:
               BCG, BAMCO and BCM are New York corporations.  Baron Small Cap
               Fund and Baron Growth Fund are series of a Massachusetts Business
               Trust.  Ronald Baron is a citizen of the United States.
        (d)  Title of Class Securities:
               Class A Common
        (e)  CUSIP Number:
               23334L102


Item 3.    PERSONS FILING:

        BCG and Ronald Baron are:
              (g) Parent holding companies, in accordance with
                  Section 240.13d-1(b)(ii)(G)
        BAMCO and BCM are:
              (e) Investment Advisers registered under Section 203 of
                  the Investment Advisers Act of 1940
        BGF is:
              (d) Investment Companies registered under Section 8 of the
                  Investment Company Act.
        All persons filing are:
              (j) Group, in accordance with Rule 13d-1(b)(1)(ii)(J)



                                            Page 8 of 12 Pages


Item 4.    OWNERSHIP^

         (a) Amount Beneficially Owned as of March 31, 2008:

               BCG:            1,756,166 shares
               BAMCO:          1,584,166 shares
               BCM:              172,000 shares
               BGF:            1,091,096 shares
               Ronald Baron:   1,756,166 shares

         (b) Percent of Class#:

               BCG:              10.8%
               BAMCO:             1.0%
               BCM:               1.1%
               BGF:               6.7%
               Ronald Baron      10.8%




^BCG and Ronald Baron disclaim beneficial ownership of
 shares held by their controlled entities (or the investment
 advisory clients thereof) to the extent such shares are held
 by persons other than BCG and Ronald Baron.  BAMCO and
 BCM disclaim beneficial ownership of shares held by their
 investment advisory clients to the extent such shares are held
 by persons other than BAMCO, BCM and their affiliates.

# The percentages reported are with respect to Class A stock only, which has one
vote per share. The Issuer's Class B stock has eight votes per share, making
the total combined voting percentage for the Reporting Persons hereunder equal
to 1.27% of the combined voting power of the Issuer's outstanding voting
securities.


                                                Page 9 of 12 Pages

          (c) Number of shares as to which such person has:
                (i)   sole power to vote or direct the vote:
                          BCG:                    0
                          BAMCO:                  0
                          BCM:                    0
                          BSC:                    0
                          BGF:                    0
                          Ronald Baron:           0
                (ii)  shared power to vote or direct the vote:
                          BCG:            1,617,666
                          BAMCO:          1,455,666
                          BCM:              162,000
                          BGF:            1,091,096
                          Ronald Baron:   1,617,666
                (iii) sole power to dispose or to direct
                      the disposition of:*
                          BCG:                    0
                          BAMCO:                  0
                          BCM:                    0
                          BSC:                    0
                          BGF:                    0
                          Ronald Baron:           0
                (iv)  shared power to dispose or direct
                      the disposition of:*
                          BCG:            1,756,166
                          BAMCO:          1,584,166
                          BCM:              172,000
                          BGF:            1,091,096
                          Ronald Baron:   1,756,166

Item 5.  OWNERSHIP OF 5% OR LESS OF A CLASS
         Not applicable.

Item 6.  OWNERSHIP OF MORE THAN 5% ON BEHALF OF ANOTHER PERSON
         The advisory clients of BAMCO and BCM have the right to receive
or the power to direct the receipt of dividends from, or the proceeds
from the sale of, the Issuer's common stock in their accounts.  To the
best of the Filing Persons' knowledge, no such person has such interest
relating to more than 5% of the outstanding class of securities.

Item 7.  IDENTIFICATION AND CLASSIFICATION OF THE SUBSIDIARY WHICH
         ACQUIRED THE SECURITY BEING REPORTED ON BY THE PARENT
         HOLDING COMPANY

         BAMCO and BCM are subsidiaries of BCG.  BSC and BGF are advisory
         clients of BAMCO.  Ronald Baron owns a controlling interest in BCG.

Item 8.  IDENTIFICATION AND CLASSIFICATION OF MEMBERS OF THE GROUP

         See Item 3.


* By virtue of investment advisory agreements with their respective
  clients, BAMCO and BCM have been given the discretion to dispose
  of the securities in the advisory accounts. All such discretionary agreements,
  are however, revocable.


                                                 Page  10 of 12 Pages

Item 9.  NOTICE OF DISSOLUTION OF GROUP

         Not applicable.

Item 10. Certification

     By signing below I certify that, to the best of my knowledge
and belief, the securities referred to above were acquired in the
ordinary course of business and were not acquired for the purpose
of and do not have the effect of changing or influencing the control
of the issuer of such securities and were not acquired in connection
with or as a participant in any transaction having such purposes or
effect.

Signature

   After reasonable inquiry and to the best of my knowledge and belief,
I certify that the information set forth in this statement is true,
complete and correct.

  Date:  April 9, 2008

                        Baron Capital Group, Inc.,
                        BAMCO, Inc., and
                        Baron Capital Management, Inc.
                        By:

                        /s/ Ronald Baron
                        _______________________________________
                            Ronald Baron, Chairman and CEO

                        Baron Growth Fund
                        By:

                        /s/ Ronald Baron
                        _______________________________________
                            Ronald Baron, CEO


                        Ronald Baron, Individually

                        By:

                        /s/ Ronald Baron
                        _______________________________________
                            Ronald Baron



                                             Page 11 of 12 Pages


                    Joint Filing Agreement


The undersigned each hereby agree that the Schedule 13G Amendment No. 5 dated
April 9, 2008 which relates to the class A common stock of DSW Inc. to be
filed jointly on behalf of each of them for the reasons  stated  therein, and
any amendments thereto shall be filed jointly by the undersigned.

Dated:  April 9, 2008

                        Baron Capital Group, Inc.,
                        BAMCO, Inc., and
                        Baron Capital Management, Inc.
                        By:

                        /s/ Ronald Baron
                        _______________________________________
                            Ronald Baron, Chairman and CEO

                        Baron Growth Fund
                        By:

                        /s/ Ronald Baron
                        _______________________________________
                            Ronald Baron, CEO


                        Ronald Baron, Individually
                        By:

                        /s/ Ronald Baron
                        _______________________________________
                            Ronald Baron