In 1118, use the Laplace transform to solve the heat equation uxx ut , x 0, t 0 subject
Chapter 15, Problem 12(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.
\(u(0, t)=u_{0}\), \(\lim _{x \rightarrow \infty} \frac{u(x, t)}{x}=u_{1}\), \(u(x, 0)=u_{1} x\)
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