Question: Design a problem to help other students better understand source-free RLC circuits. The branch current in an RLC circuit is described by the differential equation

Design a problem to help other students better understand source-free RLC circuits.

The branch current in an RLC circuit is described by the differential equation

d'i di +6–+9i = 0 dt dt

and the initial conditions are i(0) = 0, di(0)/dt = 4. Obtain the characteristic equation and determine i(t) for t > 0.

d'i di +6+9i = 0 dt dt

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