Consider the cascade connection of two continuous-time systems shown in Figure 6.25where (a) Determine the input/output differential

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Consider the cascade connection of two continuous-time systems shown in Figure 6.25where

|dw(t) dy(t) dt + w(t) = x(t), + 2y(t) = w(t) dt

(a) Determine the input/output differential equation for the overall cascade connection.

(b) Suppose that w(0) = 1, y(0) = 0 and x(t) = 0 for t ‰¥0,

i. Compute w(t) for t ‰¥ 0.

ii. Compute then y(t) for t ‰¥ 0.

Figure 6.25:

x(t) - w(t) Syst. B Syst. A y(t)

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Signals and Systems using MATLAB

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2nd edition

Authors: Luis Chaparro

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Question Posted: Dec 28, 2018 10:57 AM

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Consider the cascade connection of two continuous-time systems shown in Figure 6.25where (a) Determine the input/output differential

Question:

|dw(t) dy(t) dt + w(t) = x(t), + 2y(t) = w(t) dt x(t) - w(t) Syst. B Syst. A y(t)

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a Laplace transforms s 1W s Xs s 2Y s W s replacing W ...View the full answer

Signals and Systems using MATLAB

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