6. Solve the given initial value problem using the method of Laplace transform. (0 0

Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter58: Achievement Review—section Five
Section: Chapter Questions
Problem 24AR: a. Given: x=360 inches and y=5.10 inches. Compute Dia A to 2 decimal places. b. Given: Dia A=8.76...
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6. Solve the given initial value problem using the method of Laplace transform.
(0
0<t<π
y"+4y'+4y=1 π<t<2π;у(0) = 0, y'(0) = 0. *
Ο
2π <t
Hint: £¹ {(es) - (+1)
1
-
- 2 (+1)²]} = [1 − e−²(t−) — 2(t − ˜)e¯²(t−ñ)]u(t − ñ)
-
-
L-1
-
Transcribed Image Text:6. Solve the given initial value problem using the method of Laplace transform. (0 0<t<π y"+4y'+4y=1 π<t<2π;у(0) = 0, y'(0) = 0. * Ο 2π <t Hint: £¹ {(es) - (+1) 1 - - 2 (+1)²]} = [1 − e−²(t−) — 2(t − ˜)e¯²(t−ñ)]u(t − ñ) - - L-1 -
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