Suppose that the transfer function of this system is given by P(s) :

Advanced Engineering Mathematics
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Chapter2: Second-order Linear Odes
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Consider the initial value problem
ay" + by' + cy = f(t), y(0) = y' (0) = 0, t > 0.
Suppose that the transfer function of this system is given by (s) :
(a) What are the constants a, b, and c?
(b) If f(t) = e-t, determine F(s), Y(s), and y(t).
2s2+5s+2
Transcribed Image Text:Consider the initial value problem ay" + by' + cy = f(t), y(0) = y' (0) = 0, t > 0. Suppose that the transfer function of this system is given by (s) : (a) What are the constants a, b, and c? (b) If f(t) = e-t, determine F(s), Y(s), and y(t). 2s2+5s+2
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