# Homework Help: Help solving this ODE

1. Sep 13, 2012

### 1MileCrash

Help solving this ODE [SOLVED]

1. The problem statement, all variables and given/known data

$\frac{dy}{dx} = \frac{e^{-x}cosy - e^{2y}cosx}{-e^{-x}siny+2e^{2y}sinx}$

2. Relevant equations

3. The attempt at a solution

First, this is non-linear, not a bernoulli, non-separable, and looks hopeful for an exact. But when I take the partials I get the derivatives as being negatives of one-another.
EDIT
Nevermind, I found out what I was doing wrong. I was being lazy and didn't actually write it in differential form, keeping the negative sign when taking the appropriate partials and ended up with the two results being negatives of each other.

Last edited: Sep 13, 2012