Question: Exercise 12.21 Solve the following simultaneous equations: dx dy 1. + + x = e dt dt dx + 2 dy -+ 2x+2y=0 dt dt

Exercise 12.21 Solve the following simultaneous equations: dx dy 1. + + x = e dt dt dx + 2 dy -+ 2x+2y=0 dt dt where x(0) = -1, y(0) = 1. Ans. : x(t) = -e"(cost + sint), y(t) = e" (1+ sint)

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