Linear first order differential equation

[raul_l]

Homework Statement

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

Homework Equations

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.

 

[HallsofIvy]

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.