Let a + 0, b + 0, c # 0, a # 0, B#0 and y # 0 represent any real nonzero constants,such that c > 0, a # B, a y and B # y. Let m >1 represent any positive integer. 10. Use the method of Laplace transform to solve the initial value problemy" – 2ay' + (a² + B*)y = 0, y(0) = a,y (0)= aa + bB.

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Answered: 10. Use the method of Laplace transform…

10. Use the method of Laplace transform to solve the initial value problem y" – 2ay + (a? +B²)y = 0, y(0) = a, y/ (0) = aa + bB.

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

Let a + 0, b + 0, c # 0, a # 0, B#0 and y # 0 represent any real nonzero constants,
such that c > 0, a # B, a y and B # y. Let m >1 represent any positive integer.

10. Use the method of Laplace transform to solve the initial value problem
y" – 2ay' + (a² + B*)y = 0, y(0) = a,
y (0)
= aa + bB.

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