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Use the Laplace transform to solve the following ODES: x + 2x + 2x = u(t) Use the following forcing function: A step input (i.e., u(t) is a Heaviside function) with zero initial conditions. (Wint th. I. 1:6. +4

Use the Laplace transform to solve the following ODES: x + 2x + 2x = u(t) Use the following forcing function: A step input (i.e., u(t) is a Heaviside function) with zero initial conditions. (Wint th. I. 1:6. +4

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Use the Laplace transform to solve the following ODES: x + 2x + 2x = u(t) Use the following forcing function: A step input (i.e., u(t) is a Heaviside 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: x + 2x + 2x = u(t) Use the following forcing function: A step input (i.e., u(t) is a Heaviside 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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