By separating variables, find the solution of the initial-value problem...

By separating variables, find the solution of the initial-value problem

where R = 0.5, C = 1.0, and V(t) is the function that is constantly 3 for t < 3 and 0 for t > 3. Then check your answer by substituting it back into the differential equation. [Hint: Do this exercise in two steps. First, solve the equation for t ≤ 3. Then use the value vc(3) to state another initial-value problem.]