Find the solution. d3x d?x d³x dx + 2 =0 dr3 dr? dt
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
Transcribed Image Text:Find the solution.
d³x d?x
+
dr3
dr2
dx
2-=0
dt
-3t
A y = c,t+c,e"+cze¬"
® ze-u
-2r
В
y = c,t+c,e¯+c.
3t
-2r
© y = c,e+c,e"+c,e-"
O y =c,+c,e'+c,e-
-2r
D
Transcribed Image Text:Find the solution.
(D5 - D³)y = 0
A
y = c,+c,x+czr²+c,e* +cze¬x
2x
y = (c,+c,)x+c,+c,e+c,e
© y = (c,+c,)xe*+czr+c,e*+cze¬*
y = c,e-#+Czxe* +c zxe²" +€ ,e* +€ g¢ ¬x
-2x
се
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