Use a CAS to obtain the graph of u(x, t) in over the rectangular region defined by 0 # x
Chapter 15, Problem 32(choose chapter or problem)
Use a CAS to obtain the graph of u(x, t) in Problem 29 over the rectangular region defined by \(0 \leq x \leq 10\), \(0 \leq t \leq 15\). Assume \(u_{0}=100\) and k = 1. Use 2D and 3D plots of u(x, t) to verify the value of \(\lim _{t \rightarrow \infty} u(x, t)\).
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