. Find the Laplace Transform of the following. i.y" + y = 8(t – 2n), y(0) = 10, y'(0) = 0 %3D ii.y" – y = 108 (t -;) – 1008(t – 1), y(0) = 10, y'(0) = 1 %3D
. Find the Laplace Transform of the following. i.y" + y = 8(t – 2n), y(0) = 10, y'(0) = 0 %3D ii.y" – y = 108 (t -;) – 1008(t – 1), y(0) = 10, y'(0) = 1 %3D
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question
![Solve the following using Dirac's Delta Function and
partials fractions.
1. Find the Laplace Transform of the following.
i.y" + у %3D6(t - 2п), у(0) 3 10, у'(0) %3D0
ii.y" – y = 108 (t -;) – 1008(t – 1), y(0) = 10,
y'(0) = 1
i. y" + 4y' + 5y = [1 – u(t – 10)]e* – e º8(t – 10),
У (0) %3D 0, у'(0) %3D 1
%3D
|
%3D](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F28059d89-c271-4935-a47a-113fc2125d49%2F99303c8c-e837-4733-976a-7efda5e2e82d%2Fd4ki57a_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Solve the following using Dirac's Delta Function and
partials fractions.
1. Find the Laplace Transform of the following.
i.y" + у %3D6(t - 2п), у(0) 3 10, у'(0) %3D0
ii.y" – y = 108 (t -;) – 1008(t – 1), y(0) = 10,
y'(0) = 1
i. y" + 4y' + 5y = [1 – u(t – 10)]e* – e º8(t – 10),
У (0) %3D 0, у'(0) %3D 1
%3D
|
%3D
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