Solve the boundary-value problem 02 u 0x 2 2 u 0u 0t , 0 , x , 1, t . 0 0u 0x 2 x0 0
Chapter 13, Problem 8(choose chapter or problem)
Solve the boundary-value problem
\(\frac{\partial^{2} u}{\partial x^{2}}-u=\frac{\partial u}{\partial t}\), 0<x<1, t>0
\(\left.\frac{\partial u}{\partial x}\right|_{x=0}=0, u(1, t)=0\), t>0
\(u(x, 0)=1-x^{2}\), 0<x<1
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