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Verify that the indicated function is an explicit solution of the given differential equation. Assume an appropriate interval I of definition for each solution. y" - 4y' + 13y = 0; y = e2x cos(3x) When y = e²x cos(3x), y' = Thus, in terms of x, y" - 4y' + 13y = + 13e²x cos(3x)

Verify that the indicated function is an explicit solution of the given differential equation. Assume an appropriate interval I of definition for each solution. y" - 4y' + 13y = 0; y = e2x cos(3x) When y = e²x cos(3x), y' = Thus, in terms of x, y" - 4y' + 13y = + 13e²x cos(3x)

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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Verify that the indicated function is an explicit solution of the given differential equation. Assume an appropriate interval I of definition for each solution. y" - 4y' + 13y = 0; y = e²x cos(3x) When y = e²x cos(3x), y' = Thus, in terms of x, y" - 4y' + 13y = + 13e²x cos(3x)
Transcribed Image Text:Verify that the indicated function is an explicit solution of the given differential equation. Assume an appropriate interval I of definition for each solution. y" - 4y' + 13y = 0; y = e²x cos(3x) When y = e²x cos(3x), y' = Thus, in terms of x, y" - 4y' + 13y = + 13e²x cos(3x)
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