Verify that the functions cos 3x and sin 3x are solutions of the differential equation y" + 9y = 0 on the interval (-∞, 00). Then use the Wronskian to show that they form a fundamental set of solutions. Finally, write the general solution for the differential equation. The function v. = x2 is one solution of the differential equation r2y" – 2ry! 1 2y - O Use
Verify that the functions cos 3x and sin 3x are solutions of the differential equation y" + 9y = 0 on the interval (-∞, 00). Then use the Wronskian to show that they form a fundamental set of solutions. Finally, write the general solution for the differential equation. The function v. = x2 is one solution of the differential equation r2y" – 2ry! 1 2y - O Use
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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Transcribed Image Text:Verify that the functions cos 3x and sin 3x are solutions of the differential equation y" + 9y = 0 on
the interval (-o, 00). Then use the Wronskian to show that they form a fundamental set of
solutions. Finally, write the general solution for the differential equation.
The function v. = x2 is one solution of the differential eguation r2," – 2ry! 1 2v – 0
IIse
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