Analysis of circuits with initial conditions $(5$ points$)$

For the circuit shown below, determine $v_{\text{o}\text{u}\text{t}}(t),$ given that $v_s(t)=35u(t)V,v_{C_1}(0^{-})=20V,v_{C_2}(0^{-})=0,R_1=1,R_2=0\mathrm{.}5,C_1=1F,$ and $C_2=2F.$