My question is in (*) and (**). When taking the Laplace transform of the rhs of (*), why is and notHi. I finished solving a system of DEs using Laplace transform some time ago. The values I figured do not solve the system when plugged back into the original. However, I cannot find my error. I am sure it is something small, but I have been laboring for over an hour and cannot find where I went wrong. I feel like I've double-checked everything, but that cannot be so because the answers do not check.
Solve the following for
Laplace transform the system to get:
solving for U(s), V(s)
partial fractions to inverse laplace later
inverse laplace, obtaining u(t), v(t)
simplify and you get what I wrote above.
The problem is, when I plug them into the system, both equations work out to 0...the second one is not equal to 2.
I have poured over this and cannot figure it out.
Can someone spot my error?