Question

Use the elimination method to find a general solution for the given linear system, where differentiation is with respect to t 2x' + y' - 8x - 9y = e-t x' +y' +9x + 4y = et Eliminate y and solve the remaining differential equation for x. Choose the correct answer below. O A. X(t)= C1 e 7t + Cze - 7t + 58 e-t- et O B. X(t) = Cy cos (7t) + C2 sin (7t) OC. x()=C7 e 7' cos (7) + C2 e 7t sin (7) + f - Sot D. X()=C, cos (7)+C; sin (7) + šô e + is er Now find y(t) so that y(t) and the solution for x(t) found in the previous step are a general solution to the system of differential equations. y(t) = 0

Answer 1

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