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.
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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F4f9ca55a-fef9-4942-9e02-060a5757eca8%2Fdd1a9e63-c39b-4ea5-b272-a3c3036e84cf%2F90vsxyo_processed.jpeg&w=3840&q=75)
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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