# Wave equation

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

https://brainmass.com/math/linear-algebra/wave-equation-10843

#### Solution Summary

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

$2.19