her the given differential equation is separable. 1 X +7 8x X+7 X X+7 (xy3 + 7y3) dy-8xdx=0 Is the differential equation separable? dy OA. Yes, because dx = g(x)p(y) where g(x) = dy OB. Yes, because = g(x)p(y) where g(x) = dx dy O c. Yes, because = g(x)p(y) where g(x) = dx O D. No and p(y) = and p(y) = and p(y) = 8x 53 -3 -133 y3 y³ y3

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
icon
Related questions
Question
Differential equations Help 4 question
Determine whether the given differential equation is separable.
(xy³ + 7y³) dy-8xdx=0
Is the differential equation separable?
dy
8x
OA. Yes, because
dx = g(x)p(y) where g(x) =
and p(y) =
y³
dy
1
OB. Yes; because
= g(x)p(y) where g(x) =
dx
and p(y) =
dy
O c. Yes; because
= g(x)p(y) where g(x) =
and p(y) =
dx
O D. No
X+7
8x
X+7
X
X+7
y3
1
y³
Transcribed Image Text:Determine whether the given differential equation is separable. (xy³ + 7y³) dy-8xdx=0 Is the differential equation separable? dy 8x OA. Yes, because dx = g(x)p(y) where g(x) = and p(y) = y³ dy 1 OB. Yes; because = g(x)p(y) where g(x) = dx and p(y) = dy O c. Yes; because = g(x)p(y) where g(x) = and p(y) = dx O D. No X+7 8x X+7 X X+7 y3 1 y³
Expert Solution
steps

Step by step

Solved in 2 steps

Blurred answer
Recommended textbooks for you
Advanced Engineering Mathematics
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Mathematics For Machine Technology
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
Basic Technical Mathematics
Basic Technical Mathematics
Advanced Math
ISBN:
9780134437705
Author:
Washington
Publisher:
PEARSON
Topology
Topology
Advanced Math
ISBN:
9780134689517
Author:
Munkres, James R.
Publisher:
Pearson,