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Problem $2(50$pts$)$: For the RLC parallel circuit shown below, determine the followings: b$)$ the characteristic equation for voltage $v$ d$)$ the complete response for voltage $v$

I. $i(0)=-4$A and $v(0)=10V$ Given: $R=1,C=2F,L=10H,i_S=5e^{-3t}u(t)A$