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3. Given the forced harmonic oscillator dy dy dt2 dt + 5y = sint, (a) (10 points) compute its general solution y, (note: use the

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3. Given the forced harmonic oscillator dy dy dt2 dt + 5y = sint, (a) (10 points) compute its general solution y, (note: use the complex-valued function method to find a particular solution yp); (b) (6 points) describe the long-term behavior and the steady state of the general solution obtained in (a). (c) (9 points) find the amplitude and phase of the steady state

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