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Challenge_26

# Challenge_26 - Let x(t)= x 1(t x 2(t 29 29 29 29 29 29 29...

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EEL 3135: Dr. Fred J. Taylor, Professor Lesson Title: Continuous Time S&S Lesson Number: 26 (Section 9-1 to 9-6) Challenge A continuous time system is defined by an integrator which has an initial condition y(0). If presented with a continuous-time input x(t), the output is: ( 29 ( 29 ( 29 0 0 y d x t y t + = τ τ Is the system linear? Response Let x 1 (t) be given, ( 29 ( 29 ( 29 0 0 1 1 y d x t y t + = τ τ Let x 2 (t) be given, ( 29 ( 29 ( 29 0 0 2 2 y d x t
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Unformatted text preview: Let x(t)= x 1 (t)+ x 2 (t), ( 29 ( 29 ( 29 ( 29 ( 29 ( 29 ( 29 ( 29 ( 29 ( 29 2 1 2 1 y d x d x y d x x t w t t t + + = + + = âˆ« âˆ« âˆ« But y 1 (t)+ y 2 (t), ( 29 ( 29 ( 29 ( 29 ( 29 ( 29 ( 29 . 2 2 1 t w y d x d x t y t t â‰  + + = âˆ« âˆ« System is non-linear. = 1...
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