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The inverse forms of the results in Problem 49 in Exercises 7.1 are and s-a y(t) = .(sa)² + b² } -3t eat b (sa)² + b² Use the Laplace transform and these inverses to solve the given initial-value problem. y' + y = e cos bt = eat eat sin bt. cos 2t, y(0) = 0

The inverse forms of the results in Problem 49 in Exercises 7.1 are and s-a y(t) = .(sa)² + b² } -3t eat b (sa)² + b² Use the Laplace transform and these inverses to solve the given initial-value problem. y' + y = e cos bt = eat eat sin bt. cos 2t, y(0) = 0

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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The inverse forms of the results in Problem 49 in Exercises 7.1 are and s-a x^{{{8-352)² + b ² } y(t) = b (s - a +62 2 Use the Laplace transform y' + y = e -3t = = eat cos bt eat sin bt. and these inverses to solve the given initial-value problem. cos 2t, y(0) = 0
Transcribed Image Text:The inverse forms of the results in Problem 49 in Exercises 7.1 are and s-a x^{{{8-352)² + b ² } y(t) = b (s - a +62 2 Use the Laplace transform y' + y = e -3t = = eat cos bt eat sin bt. and these inverses to solve the given initial-value problem. cos 2t, y(0) = 0
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