Question: help please Use the elimination method to find a general solution for the given linear system, where differentiation is with respect to t. 8 5

help please

Use the elimination method to find a general solution for the given linear system, where differentiation is with respect to t. 8 5 = x - 5y = 5x+y Eliminate x and solve the remaining differential equation for y. Choose the correct answer below. O A. y(t) = Cqe -1+ Cyte -t O B. y(t) = C1 e cos 5t+ Cze -1 sin 5t c. y(t) = C, e'cos 5t + Cze sin 5t O'D. y(t) = Cet + Cate OE. 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. O A. X(1) = O B. The system is degenerate

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