Question

Consider a circuit with an input voltage, a resistor, and a capacitor,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