Given a governing differential equation for a circuit as shown below:

Find the particular solution for vR for this equation (i.e. vC where t goes to infinity), given vS = u(t) V (u(t) is the unit step function, 0 before t=0, 1 for t=0 and beyond), for t>0, to 1% accuracy. The component values are R = 8.5 kΩ, C = 2 μF.