2- We solve the following homogeneous ODE dy = y-x; dx x Which of the following steps are TRUE for solution?

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
2-
We solve the following homogeneous ODE
dy - y-x.
=
;
dx
x
Which of the following steps are TRUE for solution?
v = ² →y=vx
dv
○ A) dx = v+xax
v+x
dv vx-x
dx
x
v = 2 →y=vx
dy
O B) dx=v+xax
dy
dx
vx-x
Transcribed Image Text:2- We solve the following homogeneous ODE dy - y-x. = ; dx x Which of the following steps are TRUE for solution? v = ² →y=vx dv ○ A) dx = v+xax v+x dv vx-x dx x v = 2 →y=vx dy O B) dx=v+xax dy dx vx-x
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