Determine whether the given differential equation is separable. dy dx + sin(x + y) = 0 Is the differential equation separable? OA. Yes, because OB. Yes; because OC. Yes; because OD. No dy = g(x)p(y) where g(x) = sin (x) and p(y) = sin (y). dx - dy = g(x)p(y) where g(x) = -1 and p(y) = sin(x + y). dx dy = g(x)p(y) where g(x)= - sin (x + y) and p(y) = 1. dx

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Determine whether the given differential equation is separable.
dy
dx
+ sin (x + y) = 0
Is the differential equation separable?
OA. Yes, because
OB. Yes; because
OC. Yes; because
O D. No
dy
= g(x)p(y) where g(x) = sin (x) and p(y) = sin (y).
dx
dy
= g(x)p(y) where g(x) = -1 and p(y) = sin(x + y).
dx
dy
= g(x)p(y) where g(x) = sin (x + y) and p(y) = 1.
dx
Transcribed Image Text:Determine whether the given differential equation is separable. dy dx + sin (x + y) = 0 Is the differential equation separable? OA. Yes, because OB. Yes; because OC. Yes; because O D. No dy = g(x)p(y) where g(x) = sin (x) and p(y) = sin (y). dx dy = g(x)p(y) where g(x) = -1 and p(y) = sin(x + y). dx dy = g(x)p(y) where g(x) = sin (x + y) and p(y) = 1. dx
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