Use the Laplace transform to solve the given initial-value problem. y" + y = 8(t - 4) + 8(t = 8), y(0) = 1, y'(0) = 0 1²(t-[ y(t) = + )+ ( [ )u(t - 8x)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section: Chapter Questions
Problem 9T
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Ordinary differential equations 

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Use the Laplace transform to solve the given initial-value problem.
y" + y = 8(t = 4µ) + 8(t − 8ñ), y(0) = 1, y'(0) = 0
])u(t-|
y(t) =
+
])+C
[2(t-8x)
Transcribed Image Text:Use the Laplace transform to solve the given initial-value problem. y" + y = 8(t = 4µ) + 8(t − 8ñ), y(0) = 1, y'(0) = 0 ])u(t-| y(t) = + ])+C [2(t-8x)
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