Solve the initial value problem below using the method of Laplace transforms. w" - 4w' + 4w 16t+20, w(-2)=-1, w'(-2)=6
Solve the initial value problem below using the method of Laplace transforms. w" - 4w' + 4w 16t+20, w(-2)=-1, w'(-2)=6
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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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.
w(t) = 2e2t (2t-5)+5t+9
(Type an exact answer in terms of e.)
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