y"-4y + 40y=0
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
Do 2,3
Transcribed Image Text:Match the given second-order differential equations with its corresponding general solution.
1. 2y" - 72y = 0
3. y4y+40y = 0
4. y 12y+36y = 0
fr
Aye (C, cos 2r + C, sin 2r)
B.y = C₁e + C₂e-
C.y = e(C, cos 6t+ C₂ sin 6t
360
D₁y = C₁ e ³ + C₂
E.y = e 2¹ (C₁, cos 6r + C sin 6t )
Fy=e" (C₁+C₂¹)
G.y=e" (C₁+C₂1)
H.y = C₁ e36
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