Question

how can i solve it this differential equation
xcos^2ydx-ycos^2xdy=0

Answer 1

separate variables .. i dont think you can get explicit solution for this ..
separating variables
\[\Large \frac{y}{\cos^2(y)}*dy=\frac{x}{\cos^2(x)}*dx\]
or can be written as
\[\Large \sec^2(y)ydy=\sec^2(x)xdx\]
just integrate both sides by applying by parts integration.

Answer 2

when i use by parts integration formula then answer doesn't come