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

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

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- May 21st 2010, 02:58 AMjpquinn91General SolutionCan 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 AMchisigma
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

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