Solved: In 1118, use the Laplace transform to solve the heat equation uxx ut , x 0, t 0
Chapter 15, Problem 18(choose chapter or problem)
In Problems 11–18, use the Laplace transform to solve the heat equation \(u_{x x}=u_{t}\), x>0, t>0 subject to the given conditions.
\(u(0, t)=\left\{\begin{array}{lr}20, & 0<t<1 \\0, & t \geq 1\end{array}\), \(\lim _{x \rightarrow \infty} u(x, t)=100\right.\), u(x, 0)=100
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