Oscillator equation A mechanical oscillator (such as a

Chapter 3, Problem 88

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Oscillator equation A mechanical oscillator (such as a mass on a spring or a pendulum) subject to frictional forces satisfies the equation (called a differential equation) y_1t2 + 2y_1t2 + 5y1t2 = 0, where y is the displacement of the oscillator from its equilibrium position. Verify by substitution that the function y1t2 = e-t 1sin 2t - 2 cos 2t2 satisfies this equation.

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