Question: 1. Consider the wave equation on the unit square ?: What = c2 V2u, (I, y) En, t> 0, u(0, y, t) = u(1, y,

1. Consider the wave equation on the unit square ?: What

1. Consider the wave equation on the unit square ?: What = c2 V2u, (I, y) En, t> 0, u(0, y, t) = u(1, y, t) = 0, t>0, u(I, 0, t) = u(x, 1, t) = 0, t>0, u(x, y,0) = sin 271 sin 3ry, (x, y) En, u(x, y,0) = xy (1-y) +ex-, (x,y) En. (a) Given that c = 1/7, solve the boundary value

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