why kw''=0. Can you please explain it to me. Thank you
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 kw''=0. Can you please explain it to me. Thank you

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E Bundle: Differential Equations with Bou...
< Chapter 12.6, Problem 2E >
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respect to x,
Pu
%3D
dx2
dx2
+ y" (x)
Substitute Pu
dx2
ди
+ y" (x) and
in equation (1),
%3D
dt
dt
+ ky" (x) =
dx2
(3)
Second derivative of y is zero in the equation (3) by
homogeneous system,
ky" (x) = 0
Integrate the above equation,
y' (x) = c1
Integrate the above equation,
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y (x) = c1x + c2 .
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(4)
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MAR
4
28
( O
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