Problem 14.9-4

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