Solve the initial value problem below using the method of Laplace transforms. 元 y"+4y'+3y = - 7 cost-2 sin t, y = 1, y' Click here to view the table of Laplace transforms. Click here to view the table of properties of Laplace transforms. 元 (123 15 y(t) = 8 sint- e 4 cost 10 20 (Type an exact answer in terms of e.)

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Solve the initial value problem below using the method of Laplace transforms.
兀
元
y" +4y' + 3y = -7 cost-2 sin t, y
2.
= 1, y
= 0
Click here to view the table of Laplace transforms.
Click here to view the table of properties of Laplace transforms.
tリ()。
15
23
8.
3
y(t) =
e
4
e
20
sint-
cost
10
(Type an exact answer in terms of e.)
Transcribed Image Text:Solve the initial value problem below using the method of Laplace transforms. 兀 元 y" +4y' + 3y = -7 cost-2 sin t, y 2. = 1, y = 0 Click here to view the table of Laplace transforms. Click here to view the table of properties of Laplace transforms. tリ()。 15 23 8. 3 y(t) = e 4 e 20 sint- cost 10 (Type an exact answer in terms of e.)
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