Consider the IVP given below, which models "damped harmonic motion." 13 y" + y +y = cos(wt), y(0) = 0, y (0) = 1. Find the transfer function H(s) and the impulse response h(t). Write the solution y(t) using a convolution integral.

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Consider the IVP given below, which models "damped harmonic motion."
13
y" + y +y = cos(wt), y(0) = 0, y'(0) = 1.
Find the transfer function H(s) and the impulse response h(t).
Write the solution y(t) using a convolution integral.
Transcribed Image Text:Consider the IVP given below, which models "damped harmonic motion." 13 y" + y +y = cos(wt), y(0) = 0, y'(0) = 1. Find the transfer function H(s) and the impulse response h(t). Write the solution y(t) using a convolution integral.
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