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- #1

Let

$\begin{align}

& {{u}_{t}}=K{{u}_{xx}}+\gamma ,\text{ }0<x<L,\text{ }t>0, \\

& u(0,t)=\alpha ,\text{ }u(L,t)=\beta ,\text{ }t>0, \\

& u(x,0)=0,

\end{align}

$

where $\alpha,\beta,\gamma$ are constant, then find the equilibrium solution. I don't know what I need to do.