Help! Stuck on Dependent Current Source Problem

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Ankita0610
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I am stuck with this problem,the dependent current source is creating a big problem for me, please help.
I have attached the problem.
 

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How are you trying to solve the problem?

Could help you more if you showed your attempt at the solution.
 
i am using the equation of underdamped series RLC circuit,the initial condition says that at t=0- inductor current is 0,so at t=0+ the inductor current will b 0,then what is the role of dependent current,and how to find the thevnin equivalent of the circuit,for getting a Req,so that i can find the time constant.