y" + 3y - 4y = 6e²t-3, y(1.5) = 4, y'(1.5) = 5
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.6: Additional Trigonometric Graphs
Problem 77E
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Question
Please use the Laplace transform. I only need help with part e
![4. Solve the following initial value problems using the Laplace transform:
a) y' + 3y = 0, y(0) = 1.5.
b) y" — y' - 6y = 0, y(0) = 11, y'(0) = 28
-
c) y" - 4y + 3y = 6t - 8, y(0) = 0, y′(0) = 0
d) y" + 3y' +2.25y = 9t³ +64, y(0) = 1, y′(0) = 31.5
e) y" + 3y' - 4y = 6e²t-3, y(1.5) = 4, y′(1.5) = 5](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F13b8e596-45c0-434d-ab2b-ea5ebc953e71%2F5fc72dde-8c8d-46d3-bfcc-57c6f5e87598%2Fjehybcs_processed.jpeg&w=3840&q=75)
Transcribed Image Text:4. Solve the following initial value problems using the Laplace transform:
a) y' + 3y = 0, y(0) = 1.5.
b) y" — y' - 6y = 0, y(0) = 11, y'(0) = 28
-
c) y" - 4y + 3y = 6t - 8, y(0) = 0, y′(0) = 0
d) y" + 3y' +2.25y = 9t³ +64, y(0) = 1, y′(0) = 31.5
e) y" + 3y' - 4y = 6e²t-3, y(1.5) = 4, y′(1.5) = 5
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