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Question: 4 of variables by uzt xxtt uxyt separation xxyytt separate...

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4. of Variables. By u(z,t) X(x)T(t) u(x,y,t) Separation X(x)Y(y)T(t), separate the following PDEs into two or three ODEs for X and T or X, Y, and T. The parameters c and k are constants. You do not need to solve the equations. Note: one of the equations cannot be separated. Indicate this when using or = u discover that equation (a) utt = (X%)x

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