Use the Laplace transform to solve the following ODEs: + 3x + 2x = u(t) Use the following forcing function: An impulsive input (i.e., u(t) is a Delta function) with zero initial conditions

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.5: Graphs Of Functions
Problem 50E
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Use the Laplace transform to solve the following ODEs: + 3x + 2x = u(t)
Use the following forcing function: An impulsive input (i.e., u(t) is a Delta function) with
zero initial conditions
(Hint: use the Laplace transforms from homework 8 to simplify the expression in the fre-
quency domain. I would not recommend using convolution, if you can avoid it)
Transcribed Image Text:Use the Laplace transform to solve the following ODEs: + 3x + 2x = u(t) Use the following forcing function: An impulsive input (i.e., u(t) is a Delta function) with zero initial conditions (Hint: use the Laplace transforms from homework 8 to simplify the expression in the fre- quency domain. I would not recommend using convolution, if you can avoid it)
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