Solved: In 1118, use the Laplace transform to solve the heat equation uxx ut , x 0, t 0
Chapter 15, Problem 16(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.
\(\left.\frac{\partial u}{\partial x}\right|_{x=0}=-f(t)\), \(\lim _{x \rightarrow \infty} u(x, t)=0\), u(x, 0)=0
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