yesterday my professor introduced us to forced response circuits. I am some what confused on telling the difference when trying to find D.E. for it.
Determine the D.E. governing V(t), t>0.
This is one of the pratice problems he gave us. Now since t>0 the switch is on B, this means we ignore the 2V and 5omh portion of the circuit.
I found that there is 9V across the capacitor and Tau = 6.
This give me V(t) = 9e^(-t/6).
When I looked up a solution(could be wrong) it was V(t) = 9 - 7e^(-t/6).
Could someone explain this? Is this because the circuit is a forced response?