Question

Consider a circuit with an input voltage, a resistor, and a capacitor, as shown in
• Imagine that the input voltage initially has size 12 volts at t = 0. At t = 10 it
drops down to a value of 5 volts, which it then maintains indefinitely. Setting
R = 3 and C = 2 formulate an ODE that describes the voltage across the
capacitor over time.
• Solve the ODE using Laplace Transforms.