What is this kind of differential equation and how can it be solved?
That is a second order PDE, a transport equation in 1d having a parabolic character.
Combination of ttsnsport and
Difusion typical of semiconductors..
Gaussian typical solution of
Difusion part.
With no electric field left with the
Diffusion equation.
...and in case of const coefficients this eqn integrated simply alond the characteristic direction
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