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Use Laplace/inverse Laplace transform to solve the differential equation y" – 2y – 3y = 0, y(0) = 1, 3'(0) = – 10. 6.

Use Laplace/inverse Laplace transform to solve the differential equation y" – 2y – 3y = 0, y(0) = 1, 3'(0) = – 10. 6.

Advanced Engineering Mathematics
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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Use Laplace/inverse Laplace transform to solve the differential equation y" – 2y – 3y = 0, y(0) = 1, y'(0) = -10. Note: NO credit will be given if other methods are used. A table of Laplace transform of some functions: f(t) F(s) I. 1 eat s - a n! sn+1 sin (bt) 62 s2 + b? s2 cos (bt) eatin (8 – a)n*1 - eat sin (bt) (8 – a)² + 6² - eat cos (bt) S - a (s – a)² + b² -
Transcribed Image Text:Use Laplace/inverse Laplace transform to solve the differential equation y" – 2y – 3y = 0, y(0) = 1, y'(0) = -10. Note: NO credit will be given if other methods are used. A table of Laplace transform of some functions: f(t) F(s) I. 1 eat s - a n! sn+1 sin (bt) 62 s2 + b? s2 cos (bt) eatin (8 – a)n*1 - eat sin (bt) (8 – a)² + 6² - eat cos (bt) S - a (s – a)² + b² -
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