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\centerline{\textbf{Wave Initial Conditions}}
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This function describes the displacement of a stretched string from its equilibrium position at $t=0$.  Consider only the portion of the string between \newline x =0 and L,  and find the function that describes its displacement at ALL times.  (Hint - this is not a single-wavelength/single frequency problem.)

\begin{enumerate}
\item	Initial conditions: $\psi (x, t=0) = A\sin{\left(\frac{\pi x}{L}\right)}\left(1+\cos{\left(\frac{\pi x}{L}\right)}\right) \; \; \; \frac{\partial \psi (x, t=0)}{\partial t}$
\item	Boundary conditions: $\psi (x=0, t) = 0 \; \; \; \psi(x=L, t)=0$
\end{enumerate} 

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\leftline{\textit{by Janet Tate}}
\leftline{\copyright DATE Janet Tate}
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