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

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