Use the elimination method to find a general solution for the given linear system, where differentiation is with respect to t. (D+3)[u] - (D+3)[v] = et (D-1)[u]+(4D+1)[v] = 7 + A. ue +2e + 4 + 5' OB. The system is degenerate. OC. u(t)=C+C₂te³t D. u(t)=C₁+C2e3t. + + 1 1 4 et + 7 5t 7 et + 4 5¹ 1 7 OE. u(t)=C₁+C2e³t. + e² + 4 5 Now find v(t) so that v(t) and the solution for u(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. OA. v(t) = C₁ + C₂e 7 3t + 5 OB. The system is degenerate.

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