For the homogeneous equation (y² + 2xy) dx -x²dy = 0, which is a better substitute: letx=vyory=vx? What is the equation after applying variable separable? A) letx=vy;xd – - B dx lety=vx;- 2 dx letx=vy: + dx lety=vx:-- dv X 2 v²+1 dv v+1 dv X v (v + 1) dv =0 =0 V+V = = 0

Calculus: Early Transcendentals
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Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
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For the homogeneous equation (y² + 2xy) dx-x²dy = 0, which is a better substitute: let x=vyory=vx?
What is the equation after applying variable separable?
A) letx=vy;xdx-
B
D
lety=vx;
dx dv
2
x² v+1
dx
letx=vy;-+
X
dx
lety=vx;-
dv
v² +1
X
= 0
=0
dv
v (v + 1)
dv
2
v+v
=0
Transcribed Image Text:For the homogeneous equation (y² + 2xy) dx-x²dy = 0, which is a better substitute: let x=vyory=vx? What is the equation after applying variable separable? A) letx=vy;xdx- B D lety=vx; dx dv 2 x² v+1 dx letx=vy;-+ X dx lety=vx;- dv v² +1 X = 0 =0 dv v (v + 1) dv 2 v+v =0
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