# Solving y'=y-sin(2x)

by koolrizi
Tags: solving, yysin2x
 P: 21 I found the integrating factor to be e^x for DE y'=y-sin(2x) Now i am stuck at integral of -sin(2x)e^x Can you help me with it? I tried using integration by parts and i get to following integral(sin(2x)(e^x)=sin(2x)e^x-2cos(2x)e^x-4*integral(sin(2x)(e^x) I am stuck. Help! Thanks
 P: 725 Notice that you have the expression "integral(sin(2x)(e^x))" on both sides of your equation. You can therefore solve for it directly, and be done.
 P: 21 directly? I think i am not seeing something
P: 21

## Solving y'=y-sin(2x)

The answer to this DE is 1/5(sin(2x)+2cos(2x) and i am not seeing how to get to this from what i have
 P: 21 OH ok i got it....wasnt seeing that lol...THanks
 P: 13 also careful with your results. looks like you missed a couple small details. your integrating factor is actually $e^{-x}$ and you should have the boundaries of the LHS of your equation(unless they're supposed to be =0)

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