Question: Rewrite the solution to Problem 3 and identify the initial value Green's functions. Data from Problem 3 Find product solutions, (u(x, t)=b(t) phi(x)), to the

Rewrite the solution to Problem 3 and identify the initial value Green's functions.

Data from Problem 3

Find product solutions, $u(x, t)=b(t) \phi(x)$, to the wave equation satisfying the boundary conditions $u(0, t)=0$ and $u_{x}(1, t)=0$. Use these solutions to find a general solution of the heat equation satisfying these boundary conditions.

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