Use the elimination method to find a general solution for the given linear​ system, where differentiation is with respect to t. Eliminate v and solve the remaining differential equation for u. Choose the correct answer below.
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
Use the elimination method to find a general solution for the given linear system, where differentiation is with respect to t.
(D + 2)[u] - (D+2)[v] = et
(D-1)[u] + (2D + 1)[v] = 8
Eliminate v and solve the remaining differential equation for u. Choose the correct answer below.
A. u(t) = C1 e 2t+Cge -2t + et
B. 10) = C4 +Cate - 2t getting
C. The system is degenerate.
D. u(t) = C1+C2 e 2t
E. U(t) = C4 + Cz e + 2+ + get to
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.
A. v(t) =
B. The system is degenerate.