Problem $3$ Additional workspace on the next page

Consider the circuit below. $v_s(t)=10u(t)V,$ and when $t=0^{-},$ the initial current flows through the inductor is $1$ A $,$ and the initial voltage across the capacitor is $5$ V $.$

Convert the entire circuit from the time domain to the s$-$domain, incorporating the initial conditions, and draw the s$-$domain circuit. $(20$ points$)$

Find the Laplace transform of the voltage across the capacitor $V(S).$ Simplify it to the most reduced form. $(15$ points$)$