Question 1 A causal Linear Time-Invariant (LTI) system with impulse response has the following properties: When the input to the systems is x(t) = e2t for all t, the output is y(t) =e2t for all t. The impulse response h(t) satisfies the differential equation dh(t) + 4h(t) = e-6u(t) + bu(t) dt where b is an unknown constant. Determine the constant b and the Laplace transform, H(s) of the impulse response of the system based on the information given above.

Question 1 A causal Linear Time-Invariant (LTI) system with impulse response has the following properties: When the input to the systems is x(t) = e2t for all t, the output is y(t) =e2t for all t. The impulse response h(t) satisfies the differential equation dh(t) + 4h(t) = e-6u(t) + bu(t) dt where b is an unknown constant. Determine the constant b and the Laplace transform, H(s) of the impulse response of the system based on the information given above.

Introductory Circuit Analysis (13th Edition)

13th Edition

ISBN:9780133923605

Author:Robert L. Boylestad

Publisher:Robert L. Boylestad

Chapter1: Introduction

Section: Chapter Questions

Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...

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