3. Find the solution to

Utt =

36UTT

u(x,0) = u(x) = e-¹² sin(x),

u₁(x, 0) = u₁(x) = 0,

uz (0, t) = 0,

on the domain 0 ≤ x <∞, 0≤ t <∞.

Marks: 3