Mathematics Homework Solutions
Problem
#10843

Wave equation with mixed boundary conditions

Uxx means second derivative with respect to x
Uyy means second derivative with respect to y

Uxx + Uyy = 0,  0 < x < pi,  0 < y < 1

Ux(0,y) = 0 = U(pi,y),  0 < y < 1

U(x,0) = 1,   U(x,1) = 0,  0 < x < pi

Please show all work including how eigenvalues and eigenvectors are derived.
Thank you


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This shows how to solve a problem regarding a wave equation.

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