(Solution) - Given the network in figure find a The differential equation -(2025 Original AI-Free Solution)

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Academic Level: Undergrad. (yrs 3-4)

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Given the network in figure, find
(a) The differential equation that describes the current i(t)
(b) The characteristic equation for the network
(c) The network?s natural frequencies
(d) The type of damping exhibited by the circuit
(e) The general expression fori(t)