Problem 1 An LTI system is described by the following differential equation: d'y dt +45 + 3y (t) = e 2t u (t) with y(0) = y(0¹) = 1. dt Find y(t) using the Laplace Transform method.
Problem 1 An LTI system is described by the following differential equation: d'y dt +45 + 3y (t) = e 2t u (t) with y(0) = y(0¹) = 1. dt Find y(t) using the Laplace Transform method.
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter11: Differential Equations
Section11.CR: Chapter 11 Review
Problem 15CR
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![Problem 1
An LTI system is described by the following differential equation:
d'y
dt
+45 + 3y (t) = e 2t u (t) with y(0) = y(0¹) = 1.
dt
Find y(t) using the Laplace Transform method.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F6661fcbe-c25f-4aad-b688-9bfb56de755f%2F1174b950-06c1-4191-bdc7-b8b2037b7411%2F4mdl8uy_processed.png&w=3840&q=75)
Transcribed Image Text:Problem 1
An LTI system is described by the following differential equation:
d'y
dt
+45 + 3y (t) = e 2t u (t) with y(0) = y(0¹) = 1.
dt
Find y(t) using the Laplace Transform method.
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