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Math Help - Solving Differential Equations!

  1. #1
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    Solving Differential Equations!

    Hello. I was reviewing for a big test i have tomorrow, and while doing problems out of my book i came across this one...

    y'=xe^-sinx-ycosx

    I just can't seem to figure out how to separate the variables.
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  2. #2
    MHF Contributor Calculus26's Avatar
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    You can't because it s not separable

    Set it up as a liner DE

    y' +cos(x)y = xe^(-sin(x)

    Your integrating factor is e^(sin(x)

    d(e^[sin(x)y]/dx = x

    y = x^2/2*e^(-sin(x) +c e^(-sin(x)
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