A. Sara Banu posted an Question
August 02, 2021 • 20:01 pm 10 points
  • IIT JAM
  • Mathematics (MA)

Example. solve (d2 6d+9)y = 4xx sol. here the auxiliary equation is m2 6m+ 9 0 or m 3, 3. c.f. (c,x +c.)e, where c, c are arbitrary constants and p.l. d-6d+g (4

Example. Solve (D2 6D+9)y = 4xx Sol. Here the auxiliary equation is m2 6m+ 9 0 or m 3, 3. C.F. (C,x +C.)e, where C, C are arbitrary constants and P.l. D-6D+g (4e) ex (D+3-6(D +3)+9 4"1-4 x4e-2x' 1 4 The required solution is y = C.F. +P.I. or y = (C,x + C.)e + 2xe (2) P.I. for sinax or cosax and E 2

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