5.) (ya+yx) dx -x ² dy = 0 ny Simplier) + xbx = vbe+bv=xb. Y = VX keta dy=vdx + xdvo (v²x²+xx²) dx -x² (vdx + xdv) = 0(vbe+bv) e v²x² dx +vx²dx -x² xdx -x²³ dv =0 Y -vx2x vb fur + uten+ ve- vaxa dx -x3 dv=O dv ха dx x3 x =ce_\\ \_^) = xa 즉 -2 fox fu²²du | x-ce dx d = dv N Inx =.. 3 + CA V

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.3: Lines
Problem 21E
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Can you check my homogenous ODE solution if it correct or wrong thank you
ny Simplier) + xbx
=
5.) (ya+yx) dx - x² dy = 0 =
vbe+bv=xb.
Y = VX
dy=vdx + xdvy
(v²x² + xx²) dx - x² (vdx + xdv) = 0 (vbe+ebv)e!
v²x²dx +vx²dx _x² vdx = x³dv ²0v jubif
-vxx vb fur + utent ve-
X =ce_\\_fy)
X = ce
th
со прех- хрехел
ха dx
x3
d
-2
fdx =√√²² dv
Inx == +6²
1
V
dv
ex
7-17
45
ㅅ
P
Transcribed Image Text:ny Simplier) + xbx = 5.) (ya+yx) dx - x² dy = 0 = vbe+bv=xb. Y = VX dy=vdx + xdvy (v²x² + xx²) dx - x² (vdx + xdv) = 0 (vbe+ebv)e! v²x²dx +vx²dx _x² vdx = x³dv ²0v jubif -vxx vb fur + utent ve- X =ce_\\_fy) X = ce th со прех- хрехел ха dx x3 d -2 fdx =√√²² dv Inx == +6² 1 V dv ex 7-17 45 ㅅ P
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