Solve the initial value problem below using the method of Laplace transforms. y' +25y = 150t² - 150t + 112, y(0) = 0, y'(0) = 9 Click here to view the table of Laplace transforms. Click here to view the table of properties of Laplace transforms. y(t) = 4-6t-6t²-4 cos (5t) + 3 sin (5t) ...

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 initial value problem below using the method of Laplace transforms.
y" +25y = 150t²-150t + 112, y(0) = 0, y'(0) = 9
Click here to view the table of Laplace transforms.
Click here to view the table of properties of Laplace transforms.
y(t) = 4-6t-6t² - 4 cos (5t) + 3 sin (5t)
Transcribed Image Text:Solve the initial value problem below using the method of Laplace transforms. y" +25y = 150t²-150t + 112, y(0) = 0, y'(0) = 9 Click here to view the table of Laplace transforms. Click here to view the table of properties of Laplace transforms. y(t) = 4-6t-6t² - 4 cos (5t) + 3 sin (5t)
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