Solve the initial value problem below using the method of Laplace transforms. y" - 12y' + 72y = 160 e 4t, y(0) = 4, y'(0) = 22
Solve the initial value problem below using the method of Laplace transforms. y" - 12y' + 72y = 160 e 4t, y(0) = 4, y'(0) = 22
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.6: Additional Trigonometric Graphs
Problem 78E
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![Solve the initial value problem below using the method of Laplace transforms.
y" - 12y' + 72y = 160 e 4t, y(0) = 4, y'(0) = 22
Click here to view the table of Laplace transforms.
Click here to view the table of properties of Laplace transforms.
y(t) =
(Type an exact answer in terms of e.)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd1d700aa-072a-4ff7-be1d-cdca0f10aa9d%2F583de421-f53e-4403-9113-707af247b51e%2Ft7nwes_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Solve the initial value problem below using the method of Laplace transforms.
y" - 12y' + 72y = 160 e 4t, y(0) = 4, y'(0) = 22
Click here to view the table of Laplace transforms.
Click here to view the table of properties of Laplace transforms.
y(t) =
(Type an exact answer in terms of e.)
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