The corresponding solutions of the differential equations, given by X (x) = c + c2x, 2 = 0 (8) Feb.18, 2021 at -18 P.pngimage X (x) = c1 cosh ax + c2 sinh ax, A = -a? < 0 (9) X (x) = c| cos ax + c2 sin ax, i = a? > 0 (10) Non trivial solution only gets from equation (10), So, put initial conditions X' (0) =0 and X' (L) =0 in equation (10), When put X' (0) =0 in equation (10), get c2 = 0. When put X (L) =0 and c2 = 0 in equation (10), -cı sin al = 0. Since, ci + 0 E GET 10 FREE QUESTIONS Then, Privacy - Terms thy
The corresponding solutions of the differential equations, given by X (x) = c + c2x, 2 = 0 (8) Feb.18, 2021 at -18 P.pngimage X (x) = c1 cosh ax + c2 sinh ax, A = -a? < 0 (9) X (x) = c| cos ax + c2 sin ax, i = a? > 0 (10) Non trivial solution only gets from equation (10), So, put initial conditions X' (0) =0 and X' (L) =0 in equation (10), When put X' (0) =0 in equation (10), get c2 = 0. When put X (L) =0 and c2 = 0 in equation (10), -cı sin al = 0. Since, ci + 0 E GET 10 FREE QUESTIONS Then, Privacy - Terms thy
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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I don't understand why it is X'(0)=0 and not X(0)=0. Can you please explain it to me.Thank you
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The corresponding solutions of the differential equations, given
by
X (x) = c1 + C2x,
2 = 0
(8)
Feb 18, 2021 at
11-18 P...pnglmage
X (x) = c1 cosh ax + c2 sinh ax,
2 = -a? < 0
(9)
Х (х) —D сі сos ax + c2 sin ax,
2 = a? > 0
(10)
Non trivial solution only gets from equation (10),
So, put initial conditions X' (0) =0 and X' (L) =0 in equation (10),
When put X' (0) =0 in equation (10), get c2 = 0.
When put X (L)=0 and c2 = 0 in equation (10), –c1 sin aL = 0.
Since, ci # 0
X GET 10 FREE QUESTIONS
Then,
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