9) Solve the following heat equation problem $u_t = 9u_{xx}$, $0 < x < 2$, $t > 0$ $u(x, 0) = -5$, $u(0, t) = u(2, t) = 0$
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First, let's find the general solution to the heat equation ut = 9uxx. We assume that the solution can be written as u(x,t) = X(x)T(t), where X(x) is a function of x only and T(t) is a function of t only. Show more…
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