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Analysis of Parallel RLC Network

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aryajur

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parallel rlc network

Hello,
I was trying to find the impulse response of the parallel RLC circuit. I tried it using Laplace and also by direct solving of the differential equations. The problem is I am getting different results from both ! The problem is coming in the solving of the Integration constants. I have attached my workings in the files below. The 1st shows the derivation using Laplace and the Next shows the differential equation method.
Please see the working and tell me what am I doing wrong in the differential equation method.
 

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