Make mesh analysis in s-domain (with initial conditions) for the circuit given below.
Find H(S)=(V_(2)((s)))/(V_(1)((s))).
Find v_(2)(t) if v_(1)(t)=(1)/(2)cos(t).
R_(1)=1\Omega ,R_(2)=2\Omega ,R_(3)=3\Omega ,L_(1)=1H,L2=2H,C=1F,i_(L1)(0)=2A,i_(L2)(0)=1,v_(C)(0)=3V