Determine whether the given differential equation is separable. dy dx = 5y² - 3y + 7 Is the differential equation separable? A. Yes, because OB. Yes, because OC. Yes; because O D. No dy 금증 증 증 증 dx dy dx = g(x)p(y) where g(x) = 1 and p(y) = 5y² - 3y + 7. dx = g(x)p(y) where g(x) = 5 and p(y) = y² - 3y + 7. dy = g(x)p(y) where g(x) = 7 and p(y) = 5y² - 3y.

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
= 5y² − 3y + 7
Is the differential equation separable?
4
dy
O A. Yes; because = g(x)p(y) where g(x) = 1 and p(y) = 5y² - 3y + 7.
dx
OB. Yes; because
O c. Yes; because
O D. No
dy
= g(x)p(y) where g(x) = 5 and p(y) = y² - 3y + 7.
dx
dy
= g(x)p(y) where g(x) = 7 and p(y) = 5y² - 3y.
dx
Transcribed Image Text:Determine whether the given differential equation is separable. dy dx = 5y² − 3y + 7 Is the differential equation separable? 4 dy O A. Yes; because = g(x)p(y) where g(x) = 1 and p(y) = 5y² - 3y + 7. dx OB. Yes; because O c. Yes; because O D. No dy = g(x)p(y) where g(x) = 5 and p(y) = y² - 3y + 7. dx dy = g(x)p(y) where g(x) = 7 and p(y) = 5y² - 3y. dx
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