Solve the boundary-value problem 02 u 0x2 02 u 0t 2 , x . 0, t . 0 u(0, t) 1, limxSq
Chapter 15, Problem 10(choose chapter or problem)
Solve the boundary-value problem
\(\frac{\partial^{2} u}{\partial x^{2}}=\frac{\partial^{2} u}{\partial t^{2}}\), x>0, t>0
u(0, t)=1, \(\lim _{x \rightarrow \infty} u(x, t)=0\), t>0
\(u(x, 0)=e^{-x}\), \(\left.\quad \frac{\partial u}{\partial t}\right|_{t=0}=0\), x>0
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