How do you go about solving cos(x)*dy/dx-2*y*sin(x)=-sin(2*x)

Question

psymon · Answer

Well, use the double angle formula on the -sin(2x) then divide everything by cos(x). That will give you the proper form you need to start your DE.

anonymous · Answer

Okay, thank you! I am trying to solve this by separation of variables. Is that the correct approach in this instance? I now have the equation dy/dx-2*y*tan(x)=-2*sin(x). I'm just not sure how to break the x and y apart.

psymon · Answer

Actually, no you wouldnt. This is a first order linear DE. This is the kind where you need to find your integrating factor u(x). Do you know how to?

anonymous · Answer

Yes, I do. Thank you very much!

psymon · Answer

Alright, awesome ^_^