Solve the third-order initial value problem below using the method of Laplace transforms. y'"' +6y" - 32y' - 240y=240e6ty(0) = 0, y'(0) = 48, y''(0) = -4 Click here to view the table of Laplace transforms. Click here to view the table of properties of Laplace transforms.

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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Solve the third-order initial value problem below using the method of Laplace transforms.
y'"' +6y" - 32y' - 240y = 240e6t, y(0) = 0, y'(0) = 48, y''(0) = -4
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'"' +6y" - 32y' - 240y = 240e6t, y(0) = 0, y'(0) = 48, y''(0) = -4 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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