(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

solve the following equation using method of intergrating factors:

2. Relevant equations

dy/dx = y + cosx - sinx

3. The attempt at a solution

i think i have to get it in the form dy/dx + r(x)y = f(x)

but i can't see how,

if i multiply or divide by a factor i wont have dy/dx on its own. and how do i identify whats f(x) and r(x)?

i also tried

dy + (-y -cosx +sinx)dx = 0

and then just finding a factor to make it an exact differntial, but im not sure how i determine the factor.

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# Solve ODE using method of integrating factors.

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