# E.g. the equation is u ( x ) = f ( x ) u &#x2032; </m

E.g. the equation is
$u\left(x\right)=f\left(x\right){u}^{\prime }\left(x\right)$
Is there a general form of solving such an equation?
If not, is there a general form for $f\left(x\right)$ being a linear function?
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Fahrleine9m
Tips:
$\frac{{u}^{\prime }\left(x\right)}{u\left(x\right)}=\frac{1}{f\left(x\right)}\phantom{\rule{0ex}{0ex}}\mathrm{ln}\left[u\left(x\right)\right]=\int \frac{1}{f\left(x\right)}dx$