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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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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