# Differential eq

1. Apr 16, 2005

### tandoorichicken

I'm having a little trouble with this differential equation. Usually I have no problem separating out the y's and the t's but this one is different:

ty' - y = t^3 - 2t on (0, $\infty$)

2. Apr 16, 2005

### dextercioby

Since $t\neq 0$,u can, perform a division and obtain

$$\frac{dy}{dt}-\frac{y}{t}=t^{2}-2$$

Solve this nonhomogenous linear first order ODE,knowing that the homogenous equation is separable...

Daniel.