Solve the boundary-value problem 02 u 0x 2 0u 0t , q , x , 1, t . 0 0u 0x 2 x1 100 2
Chapter 15, Problem 19(choose chapter or problem)
Solve the boundary-value problem
\(\frac{\partial^{2} u}{\partial x^{2}}=\frac{\partial u}{\partial t}\), \(-\infty<x<1\), t>0
\(\left.\frac{\partial u}{\partial x}\right|_{x=1}=100-u(1, t)\), \(\lim _{x \rightarrow-\infty} u(x, t)=0\), t>0
u(x, 0)=0, \(-\infty<x<1\)
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