4) Consider the differential equation. $2y'' + 2y' + 5y = 0$ a) (7%) Find the general solution. b) (1%) Is the system under-, over- or critically damped?
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The characteristic equation is obtained by assuming a solution of the form y = e^(rt), where r is a constant. Substituting this into the differential equation, we get: 2(e^(rt))'' + 2(e^(rt)) + 5(e^(rt)) = 0 Differentiating twice, we get: 2r^2e^(rt) + 2e^(rt) Show more…
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