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Thread moved from the technical forums, so no Homework Help Template is shown

So, I have been trying to come up with a general solution for dI/dt in an RLC circuit.

I have attached the work I have done so far. I don't know where but I am making a mistake and the waveform is not coming out right. Would really appreciate a look over my work to see if I made any obvious errors.

I have attached the work I have done so far. I don't know where but I am making a mistake and the waveform is not coming out right. Would really appreciate a look over my work to see if I made any obvious errors.