solve equation 2e^x.cos^2ydx-3dy=0

Question

 we want solution

Answer 1

I will help you set this up.  Note that the given equation is separable.

 

2e^xcos²ydx - 3dy = 0

 

2e^xcos²ydx = 3dy

 

2e^xdx = (3/cos²y)dy

 

The equation is separated.  Now integrate both sides and try to finish from here.