# General Solution

#### jpquinn91

Can someone tell me which method you would use to find the general solution of:

dy/dx + (3x^2)y = 2x*exp(-x^3)​

#### chisigma

MHF Hall of Honor
The DE is of the type...

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

... and its general solution is...

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

Kind regards

$$\displaystyle \chi$$ $$\displaystyle \sigma$$