Use laplace transformation to solve the following differential euqations. Show all the steps (including partial fraction  or complering square ) when finding inverse laplace transformation. Do not use computer to slove this . How all the steps. refer to the number in the laplace table (which can be found on google) that you are using . y''-y=g(t),y(0)=0 and y'(0)=0

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Use laplace transformation to solve the following differential euqations. Show all the steps (including partial fraction  or complering square ) when finding inverse laplace transformation. Do not use computer to slove this . How all the steps. refer to the number in the laplace table (which can be found on google) that you are using .

y''-y=g(t),y(0)=0 and y'(0)=0

g (t) =
3, 0 A < 5.
10₁ 3 ≤ + √ 8²
0₁
A> 8
Transcribed Image Text:g (t) = 3, 0 A < 5. 10₁ 3 ≤ + √ 8² 0₁ A> 8
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