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Use laplace transform to Solve the initial valve problem y" - 44¹ +29=0 y(0) = 0, y₁ (0)=5

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

A) using Y for the laplace transform of y(t), i.e., Y = L{y(t)}, find the equation you get by taking the laplace transform of the differential equation ?=0 B) now solve for Y(s)= ? C) by completing the square in the denominator and inverting the transform, find y(t) = ?

F(t) =
Use laplace transform to
Solve the initial valve problem
y" - 4y¹ +29=0
y(0) = 0, y¹ (0)=5

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