Solved: 6467. Oscillator and circuit equations As will be

Chapter , Problem 65

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6467. Oscillator and circuit equations As will be shown in Section D2.4, the equation y + py + qy = f 1t2, where p and q are constants and f is a specified function, is used to model both mechanical oscillators and electrical circuits. Depending on the values of p and q, the solutions to this equation display a wide variety of behavior. a. Verify that the following equations have the given general solution. b. Solve the initial value problem with the given initial conditions. c. Graph the solution to the initial value problem, for t 0.y_ + 3y_ + 25 4 y = 0; y102 = 4, y_102 = 0. General solution y = e-3t>21c1 sin 2t + c2 cos 2t2