Model and solve by the Laplace transform: Set up the model of the network in Fig. 154

Question:

Model and solve by the Laplace transform:

Set up the model of the network in Fig. 154 and find the solution, assuming that all charges and currents are 0 when the switch is closed at t = 0. Find the limits of i₁(t) and i₂(t) as t → ∞, (i) from the solution, (ii) directly from the given network.