Question: code class=asciimath>Exercise In a simple model, the short-term interest rate P(t) tends to return to its equilibrium value while being subject to inertia and damping

code class="asciimath">Exercise In a simple model, the short-term interest rate P(t) tends to return to its equilibrium value while being subject to inertia and damping effects. One way to model this is by the second-order linear differential equation (d^(2)P)/(dt^(2))+4(dP)/(dt)+5P=0 Solve this differential equation for P(t). Suppose the initial interest rate is P(0)=2(in %), and the initial rate of change is P^(')(0)=-1. Find the specific solution.

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