Assume that $V_{in}=5u(t)$ where $u(t)$ is the unit step function

a$)$ Solve for the voltage across the capacitor in the time domain.

b$)$ Redraw the circuit in the s$-$domain using the appropriate Laplace Transform pairs.

c$)$ Solve for the voltage across the capacitor in the s$-$domain.

d$)$ Solve for the voltage across the capacitor in the time$-$domain using the answer from $($c$)$ and using a table of common Laplace Transform Pairs