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The inverse forms of the results in Problem 49 in Exercises 7.1 are and s-a {(5-0)² +6²}" y(t) = < { = eat cos bt b (s-a)² + b² Use the Laplace transform and these inverses to solve the given initial-value problem. y' + y = e-3t cos 2t, y(0) = 0 = eat sin bt.

The inverse forms of the results in Problem 49 in Exercises 7.1 are and s-a {(5-0)² +6²}" y(t) = < { = eat cos bt b (s-a)² + b² Use the Laplace transform and these inverses to solve the given initial-value problem. y' + y = e-3t cos 2t, y(0) = 0 = eat sin bt.

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 s-a {(5-0)² +6²}" and = eat cos bt b < { (s-a)² + b² Use the Laplace transform and these inverses to solve the given initial-value problem. y' + y = e-3t cos 2t, y(0) = 0 y(t) = eat sin bt.
Transcribed Image Text:The inverse forms of the results in Problem 49 in Exercises 7.1 are s-a {(5-0)² +6²}" and = eat cos bt b < { (s-a)² + b² Use the Laplace transform and these inverses to solve the given initial-value problem. y' + y = e-3t cos 2t, y(0) = 0 y(t) = eat sin bt.
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