5. A steady state solution to the problem Su₁(x, t). = 1 10 u(0,t) = 1, Uxx(x, t)+x+1, 0 0, u(2,t) = 3, u(x, 0) = πx-x², t > 0, 0 < x <2. is a function v(x) that satisfies 0 = ·v"(x)+x+1, 0 ≤ x ≤ 2, 10 (0) = 1, v(2) = 3. ☐ Find (if possible) a steady state solution, or show that no steady state solution exits.

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A: topic - functions and derivatives