Use the elimination method to find a general solution for the given linear system, where differentiation is with respect to t. x' = 7x-2y + sint y' = 25x-3y - cost Write the system in operator form. = sint - cost Eliminate x and solve the remaining differential equation for y. Choose the correct answer below. 3 - 2t -2t OA. y(t)=C₁e cos 5t+C₂e sin 5t + OB. y(t) = C₁e²t + C₂te²t+cost+ OC. y(t) = C₁ e 2t + C₂te -2t + 3 7 8 cost+ A. X(t)= O B. The system is degenerate. sint 7 8 3 OD. y(t) = C₁e²t cos 5t + C₂e²¹ sin 5t+ 8 cost+ sin t 7 8 C... sin t 7 cost+ sin t 8 O E. The system is degenerate. Now find x(t) so that x(t) and the solution for y(t) found in the previous step are a general solution to the system of differential equations. Select the correct choice below and, if necessary, fill in the answer box to complete your choice.

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