The motion of a string can be described by the PDE au 1 au a2 a12 ar2 with the boundary conditions u(0,t) = 0, u(L,t) =
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The motion of a string can be described by the PDE au 1 au a2 a12 ar2 with the boundary conditions u(0,t) = 0, u(L,t) =
The motion of a string can be described by the PDE au 1 au a2 a12 ar2 with the boundary conditions u(0,t) = 0, u(L,t) = 0, (2,0) = 0, (7,0) = 1, where a > 0 and L > 0. Find the solution ut, t).
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