y(6y2-x-1)dx+2xdy=0 I want to see how it was solved using this format. Thank youu...

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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y(6y2-x-1)dx+2xdy=0

I want to see how it was solved using this format. Thank youu...

 

 

Page Width
Let v=ym
dv = (I-n) y'-^-!= (1-n) y-n dy
BERNOULLI'S EQUATION:
dy
%3D
+ PCx)y - aG7)y^
dividing both sudes by`yn': v
dy ( to) + P(a)y
dv = (1n) y^ dy
du
yn
%3D
T-n
dv
yn
oHyn dy
+PCx) V = QG)
now reduced to a leniar
form
Livear in 'v'
V.e
dx
Transcribed Image Text:Page Width Let v=ym dv = (I-n) y'-^-!= (1-n) y-n dy BERNOULLI'S EQUATION: dy %3D + PCx)y - aG7)y^ dividing both sudes by`yn': v dy ( to) + P(a)y dv = (1n) y^ dy du yn %3D T-n dv yn oHyn dy +PCx) V = QG) now reduced to a leniar form Livear in 'v' V.e dx
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