Consider the following initial value problem. y" + 8y' + 25y = 8(t− n) + ³(t−7π), y(0) = 1, y'(0) = 0 Find the Laplace transform of the differential equation. (Write your answer as a function of s.) L{y} = Use the Laplace transform to solve the given initial-value problem. y(t) = ])+( ]). U (² - π7) + ( [ Need Help? Read It ]). u(t-[

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Consider the following initial value problem.
y" + 8y' + 25y = 8(t − n) + 8(t − 7π), y(0) = 1, y'(0) = 0
Find the Laplace transform of the differential equation. (Write your answer as a function of s.)
L{y} =
Use the Laplace transform to solve the given initial-value problem.
y(t) =
])+(C
]). u(t - π) + ( [
Need Help?
Submit Answer
Read It
]).(-[
Transcribed Image Text:Consider the following initial value problem. y" + 8y' + 25y = 8(t − n) + 8(t − 7π), y(0) = 1, y'(0) = 0 Find the Laplace transform of the differential equation. (Write your answer as a function of s.) L{y} = Use the Laplace transform to solve the given initial-value problem. y(t) = ])+(C ]). u(t - π) + ( [ Need Help? Submit Answer Read It ]).(-[
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