Find vt for t 0in the circuit shown if the initial current

Find v(t) for t > 0in the circuit shown, if the initial current in the inductor is zero.

CONVERT THE TOTAL CIRCUIT IN TO S-DOMAIN

REACTANCE OF INDUCTOR =S*1=S

APPLY NODAL ANALYSIS

2=(V/5)+(V/28)+(V/S)

V[(1/5)+(1/28)+(1/S)]=2

V=[(2*5*28*S)/(33S+140)]

V=8.48*[S/(S+4.242)]

V=8.48*[1-1/(S+4.242)]

APPLY INVERSE LAPLACE TRANSFORM

V(t)=8.48*(u(t)-e^(-4.242t))

v(t)=8.48u(t)-8.48*e^(-4.242t)