a. Solve the following initial and boundary problem. Check your answer by substituting and explain all the steps: Uzyz (x, y, z) u (1, y, z) UTT (x, 0, 2) ¼x²y² (z − 1) − ¼y² (z − 1) = ¹y² (x² − 1) (z − 1) = = e² + xy = 2 sin y + 2², u₂ (1,0, 2) = 2² xz² + cos z, Uzy (x, y, 1) = e² + cos y.

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