1. Given the electric network shown below in figure 1 below
a. Write the differential equation for the network if v(t) = u(t) , a unit step.
b. Solve the differential equation for the current, i(t), if there is no initial energy in the network.
c. Make a plot of your solution if R/L = 1.
![1639_RL Network.jpg](https://secure.tutorsglobe.com/CMSImages/1639_RL%20Network.jpg)
2. Repeat the above using the network shown in figure 2 below. Assume R=2 ohms, L=1H and 1/LC=25
![2098_RLC Network.jpg](https://secure.tutorsglobe.com/CMSImages/2098_RLC Network.jpg)