General Solution

Oct 2009
48
0
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
Mar 2009
2,162
994
near Piacenza (Italy)
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

\(\displaystyle \chi\) \(\displaystyle \sigma\)