The displacement u(x, t) of a string that is driven by an external force is determined
Chapter 15, Problem 6(choose chapter or problem)
The displacement u(x, t) of a string that is driven by an external force is determined from
\(\frac{\partial^{2} u}{\partial x^{2}}+\sin \pi x \sin \omega t=\frac{\partial^{2} u}{\partial t^{2}}\), 0<x<1, t>0
u(0, t)=0, u(1, t)=0, t>0
u(x, 0)=0, \(\left.\quad \frac{\partial u}{\partial t}\right|_{t=0}=0\), 0<x<1
Solve for u(x, t).
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