Consider the following initial-boundary value problem (IBVP) for the damped wave equation with damping coefficient 0 0, t > 0, 2' u(x, 0) = x, u(x, 0) = cos(5x), u- (0, t) = 1, u (5,t) = %3D 2 (a) Determine the steady-state solution w(x).

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