a.
We use the voltage divider to find the current to find V0(s)
in terms of V1(s).
We have
so we can get
b.
We need the v0(t)(
so we have to take the inverse Laplace transform of V0(s), replacing
V1(s) by 100/s
We solve and we get
Which gives:
v0(t) = (60 – 20.e – 5000t)
V