Given the RC circuit below, where the voltage source is providing a square wave with a low level of 0 V and a high level of 1 V as shown on the plot below:

If we assume that at t=0, vC(0)=0, and that the inhomogeneous differential equation that governs vC is dVc/dt +vC/CR = vS/CR:

Find the particular solution (vP) for vC, for 0<t<T/2, to better than two sig. figures (Hint: this should be a real number).

Your answer may look like: vP = 0.165 V, for example.