HW5 Solutions.pdf - ESE 351-01 Fall 2017 Homework Set#5 due Oct 3 5.1 Write the impulse response of this system y 5 y 6y = u 10u 25u(Hint Define the

# HW5 Solutions.pdf - ESE 351-01 Fall 2017 Homework Set#5 due...

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ESE 351-01, Fall 2017 Homework Set #5, due Oct. 3 5.1 Write the impulse response of this system: !! y + 5 ! y + 6 y = !! u + 10 ! u + 25 u . (Hint: Define the unit step at t = 0 as 1(0) = 0.) 5.2 Write the impulse response of this system: !! y + 5 ! y + 6 y = 10 ! u + 25 u . 5.3 Write the impulse response of this system: !! y + 5 ! y + 6 y = 25 u . 5.4 Write the impulse response of this system: 12 y k + 2 ( ) 7 y k + 1 ( ) + y k ( ) = 12 u k + 2 ( ) + 24 u k + 1 ( ) + 12 u k ( ) . 5.5 Write the impulse response of this system: 12 y k + 2 ( ) 7 y k + 1 ( ) + y k ( ) = 24 u k + 1 ( ) + 12 u k ( ) . 5.6 Write the impulse response of this system: 12 y k + 2 ( ) 7 y k + 1 ( ) + y k ( ) = 12 u k ( ) . 5.7 Mukai 4.9.10 5.8 Mukai 4.9.13 5.9 Mukai 5.6.1 (Do not do this problem.) 5.10 Mukai 5.6.6(b), (f), (g) and (i). Sketches may be very rough. 5.11 Mukai 5.6.7 Sketches may be very rough.

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