(adsbygoogle = window.adsbygoogle || []).push({}); Hello,

I have an equation of the form:

##\partial_t f(x,t)+a\partial_x^2 f(x,t)+g(x)\partial_xf(x,t)=0 ##

(In my particular case ##g(x)=kx## with ##k>0## and ##a=2k=2g'(x)##)

I'd like to know if there is some general technique that i can use to solve my problem (for example: in the first order case I know the method of characteristics is widely used).

Thanks in advance.

P.s. I have searched for the answer in the forum, but I can't find it. If a similar question was already answered,please, forgive me.

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# I Second order PDE with variable coefficients

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