# Linear first order differential equation

1. Apr 3, 2008

### raul_l

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

$$\frac{dy}{dx} = \frac{x^2}{2} + \frac{xy}{2} + \frac{3y^2}{2} + \frac{3y}{2}$$

2. Relevant equations

3. The attempt at a solution

Don't really know were to begin. If anyone could tell me which method to use that would be great. I can't think of any way to solve this.

2. Apr 3, 2008

### HallsofIvy

Staff Emeritus
That equation is NOT linear. I don't know if it will work but my first thought is to change coordinates to get rid of that "xy" term.