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17. (5 points) Solve the following PDE at a using the ODEs you got in the last problem from using separation of variables. Apply the

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17. (5 points) Solve the following PDE at a using the ODEs you got in the last problem from using separation of variables. Apply the boundary conditions y(0, t) = 0 and y(2, t) = 0 and initial condition y(x,0)=x. 2 18. (5 points) Consider A = -1 -3 B = -2 0 0 -1 -2 -1 1 , and C = - 2 0 and compute if possible. If the operation is not possible, explain why. (a) -3B, (b) A - B, (c) BC, (d) AB, (e) B(CA), (f) B-1, (g) C-1, (h) BT, and (i) det( A)

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