Solve the third-order initial value problem below using the method of Laplace transforms. y'"' + 5y'' -8y' - 12y = -60, y(0) = 10, y'(0) = 24, y''(0) = - 126 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.)

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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Subject: calculus 

 

Solve the third-order initial value problem below using the method of Laplace transforms.
y'"' + 5y'' - 8y' - 12y = -60, y(0) = 10, y'(0) = 24, y''(0) = - 126
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.)
Transcribed Image Text:Solve the third-order initial value problem below using the method of Laplace transforms. y'"' + 5y'' - 8y' - 12y = -60, y(0) = 10, y'(0) = 24, y''(0) = - 126 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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