Solve the initial value problem below using the method of Laplace transforms. w" - 4w' + 4w = 16t+20, w(-2)=-1, w'(-2) = 6 Click here to view the table of Laplace transforms. Click here to view the table of properties of Laplace transforms. -X w(t) = 2t+4 (28+8t) - 3(t+3) (Type an exact answer in terms of e.) plz help.

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.
w" - 4w' + 4w = 16t+20, w(-2)=-1, w'(-2)=6
Click here to view the table of Laplace transforms.
Click here to view the table of properties of Laplace transforms.
-X
w(t) = ²t+4 (28+8t) — 3(t+3)
(Type an exact answer in terms of e.)
plz help.
Transcribed Image Text:Solve the initial value problem below using the method of Laplace transforms. w" - 4w' + 4w = 16t+20, w(-2)=-1, w'(-2)=6 Click here to view the table of Laplace transforms. Click here to view the table of properties of Laplace transforms. -X w(t) = ²t+4 (28+8t) — 3(t+3) (Type an exact answer in terms of e.) plz help.
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