Find the general solution of the differential equation y" - 6y +25y = 0. 3x ○ y = c1e³* + c2₂eª ○ y=c₁e O y = cie ○ y = c₁e¹¹ cos 3x + c₂e¹r sin 3x Oy=c₁e³ cos 4x + c₂e³ sin 4x 3x -3x + c₂e 4x cos 4x + c₂e -3 sin 4x

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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Question 9
4
Find the general solution of the differential equation y" - 6y +25y = 0.
○ y=c₁e³* + Geda
Oy Ge
3x + c₂e
-3 sin 4x
О y = cje
cos 4x + c₂e
○ y = c₁e¹¹ cos 3x + c₂e¹¹ sin 3x
○ y = c₁e³* cos 4x + c₂e³* sin 4x
Transcribed Image Text:Question 9 4 Find the general solution of the differential equation y" - 6y +25y = 0. ○ y=c₁e³* + Geda Oy Ge 3x + c₂e -3 sin 4x О y = cje cos 4x + c₂e ○ y = c₁e¹¹ cos 3x + c₂e¹¹ sin 3x ○ y = c₁e³* cos 4x + c₂e³* sin 4x
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