The displacement of a semi-infinite elastic string is determined from a2 02 u 0x 2 02 u
Chapter 15, Problem 3(choose chapter or problem)
The displacement of a semi-infinite elastic string is determined from
\(a^{2} \frac{\partial^{2} u}{\partial x^{2}}=\frac{\partial^{2} u}{\partial t^{2}}\), x>0, t>0
u(0, t)=f(t), \(\lim _{x \rightarrow \infty} u(x, t)=0\), t>0
u(x, 0)=0, \(\left.\quad \frac{\partial u}{\partial t}\right|_{t=0}=0\), x>0
Solve for u(x, t).
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