(P7.99)-The output voltage of a circuit is described by the differential equation d2υo(t)/dt^2+ 8 — dυo(t)/dt+ 10υo(t) = 0

 (P7.99)-The output voltage of a circuit is described by the differential equation

d2υo(t)/dt^2+ 8 — dυo(t)/dt+ 10υo(t) = 0

Find (a) the characteristic equation of the circuit, (b) the network’s natural frequencies, and (c) the equation for υo(t).

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