Ahmad posted an Question
October 14, 2021 • 16:54 pm 30 points
  • IIT JAM
  • Mathematics (MA)

Let x, x +e* and 1+x+e be solutions of a linear second order ordinary differential equation with constant coefficients. if y (x) is the solution of the same equ

Let x, x +e* and 1+x+e be solutions of a linear second order ordinary differential equation with constant coefficients. If y (x) is the solution of the same equation satisfying y(0) = 3 and y'(0) = 4, then y(1) is equal to (a) e+T (b) 2e +3 (c) 3e +2 (d) 3e +1

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  • Anonymous User best-answer

    D check attachment

    cropped5133531723429474278.jpg
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    explain the step to find out general solution I m stuck in that step afterward ,I already found the answer

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    its DE is (D²-D)y= -1

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    x is multiple of e^x in CF no individual term so we take a this

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    CF contain 1,e^x ,e^-x,sinx ,cosx, xe^x,xe^-x but not x only

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