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)
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)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe462800b-ac16-4590-bafb-82d68c005ec5%2Fefc6caff-2c2e-4393-95db-76714eee3beb%2Fxlt2je_processed.png&w=3840&q=75)
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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