Explore BrainMass

Solving differential equation by separation of variables

Solve the differential equation by method of separation of variables
csc y dx + sec^2 x dy = 0

I have to use separation of variables to solve this problem.

The answer given is:

4 cos y = 2x + sin 2x + C

I've worked on this problem for quite a while and cannot come up with the given answer.

Solution Preview

We can write it as

csc y dx =- sec^2 x dy


dx/sec^2 x = - dy/cscy

=> cos^2 x .dx = -siny.dy

We ...

Solution Summary

A detailed easy to follow solution is provided.