Answer to Question #343233 in Differential Equations for Meera

Question

Reduce the system

(D2 + 1)[x] − 2D[y] = 2t

(2D − 1)[x] + (D − 2)[y] = 7.

to an equivalent triangular system of the form

P1(D)[y] = f1(t)

P2(D)[x] + P3(D)[y] = f2(t)

and solve.

Answer 1

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