# General Solution

• May 21st 2010, 02:58 AM
jpquinn91
General Solution
Can someone tell me which method you would use to find the general solution of:

dy/dx + (3x^2)y = 2x*exp(-x^3)

• May 21st 2010, 04:05 AM
chisigma
The DE is of the type...

$y^{'} = a(x)\cdot y + b(x)$ (1)

... and its general solution is...

$y = e^{\int a(x)\cdot dx}\cdot \{\int b(x)\cdot e^{-\int a(x)\cdot dx} dx + c\}$ (2)

Kind regards

$\chi$ $\sigma$