Question

How do I find the general solution of this ODE?

http://i.imgur.com/Kbi05.jpg

Answer 1

I know the integrating factor is e^cost
So I have the following \[e ^{cost}(dx/dt)-e ^{cost}(xsint)=e ^{cost}\]

Answer 2

I assume I integrate both sides? I'm not so sure

Answer 3

This helps? http://www.wolframalpha.com/input/?i=dx%2Fdt-x*sin%28t%29%3Dsin%28t%29
You can press "show steps"