Determine whether the given differential equation is separable. (xy³ + 2y³) dy-7xdx = 0 Is the differential equation separable? dy 7x OA. Yes; because = g(x)p(y) where g(x) = and p(y) = - dx x + 2 dy x OB. Yes, because = g(x)p(y) where g(x) = and p(y) = dx X + 2 dy 1 O c. Yes; because -= g(x)p(y) where g(x) = and p(y) = dx X + 2 O D. No y3 1 y³ 7x y³
Determine whether the given differential equation is separable. (xy³ + 2y³) dy-7xdx = 0 Is the differential equation separable? dy 7x OA. Yes; because = g(x)p(y) where g(x) = and p(y) = - dx x + 2 dy x OB. Yes, because = g(x)p(y) where g(x) = and p(y) = dx X + 2 dy 1 O c. Yes; because -= g(x)p(y) where g(x) = and p(y) = dx X + 2 O D. No y3 1 y³ 7x y³
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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Transcribed Image Text:Determine whether the given differential equation is separable.
(xy3+2y3) dy-7xdx = 0
Is the differential equation separable?
dy
7x
1
O A. Yes; because
= g(x)p(y) where g(x) =
and p(y) = -
dx
x + 2
y3
dy
x
1
OB. Yes; because
= g(x)p(y) where g(x) =
and p(y) =
dx
X + 2
y³
dy
1
7x
O c. Yes; because
-= g(x)p(y) where g(x) =
and p(y) =
dx
X + 2
O D. No
y3
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