Determine whether the given differential equation is separable. dy ye 3x +3y メ+4 2 dx Is the differential equation separable? 3x e 3y and p(y) = dy e O A. Yes, because = g(x)p(y) where g(x) = dx X + 4 X+4 3x dy = g(x)p(y) where g(x) =, B. Yes; because and p(y) =y e %3D dx x +4 dy = g(x)p(y) where g(x) = y e ** 3y and p(y) = O C. Yes, because dx x+4 D. No

Calculus: Early Transcendentals
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ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
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Determine whether the given differential equation is separable.
3x +3y
dy ye
* + 4
dx
Is the differential equation separable?
3x
By
dy
O A. Yes; because
dx g(x)p(y) where g(x) =
2
X+4
and p(y) =
%3D
2.
x+4
3x
dy
B. Yes; because
= g(x)p(y) where g(x) =
and p(y) = ye
2.
x + 4
dy
O C. Yes; because
1
= g(x)p(y) where g(x) =y and p(y)=
x+4
D. No
Transcribed Image Text:Determine whether the given differential equation is separable. 3x +3y dy ye * + 4 dx Is the differential equation separable? 3x By dy O A. Yes; because dx g(x)p(y) where g(x) = 2 X+4 and p(y) = %3D 2. x+4 3x dy B. Yes; because = g(x)p(y) where g(x) = and p(y) = ye 2. x + 4 dy O C. Yes; because 1 = g(x)p(y) where g(x) =y and p(y)= x+4 D. No
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