Differential Equations - Second Order Elementary Application

Submitted by agentcollins on

Please help!!! :( I need it before midnight strikes. It's for my hhomework but I'm having a hard time. Thank you.

1. For a parallel RLC circuit, R = 1/3 ohms, C = 0.5 farads, and L = 2/13 henrys. If the
current source of the circuit produces i(t) = 20e^(–3t)sin 2t, find the voltage v at any time t
if v(0) = 2 and v’(0) = 1.5.

2. For a series RLC circuit, R = 4 ohms, C = 0.25 farads, and L = 2 henrys. If the voltage
source of the circuit produces v(t) = 6e
–tcos t, find the current i at any time t if i(0) = 4
and i’(0) = 1.
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