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- #1

$\begin{aligned} & {{u}_{tt}}={{c}^{2}}{{u}_{xx}}+A{{e}^{-x}},\text{ }0<x<L,\text{ }t>0, \\

& u(0,t)=B,\text{ }u(L,t)=M,\text{ }t>0, \\

& u(x,0)=0={{u}_{t}}(x,0),\text{ 0}<x<L.

\end{aligned}

$

What do I need to do first? Homogenize the first boundary conditions? Or first making the equation homogeneous? What's the shorter way?