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]+(2D+1)[v]=5
Eliminate v and solve the remaining differential equation for u. Choose the correct answer below.
A. The system is degenerate.
B. u(t)=C_(1)+C_(2)ᵗᵉ(-3t)+(1)/(4)ᵉ(t)+(5)/(3)t
C. u(t)=C_(1)+C_(2)ᵉ(3t)+(1)/(4)ᵉ(t)+(5)/(3)t
D. u(t)=C_(1)ᵉ(3t)+C_(2)ᵉ(-3t)+(1)/(4)ᵉ(t)+(5)/(3)t
E. u(t)=C_(1)+C_(2)ᵉ(-3t)+(1)/(4)ᵉ(t)+(5)/(3)t
to complete your choice.
A. v(t)=
B. The system is degenerate.