Find the steady-state solution to the following PDE on [0, 1]: U₁ = x+3π² cos(3x) - 2x, xЄN = [0,1], t> 0, u(0,t) = 2, u(1,t) = 2, u(x, 0) = f(x) = u(t − 0.5), where u(t) is the unit step function.

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