Using the appropriate substitution, what is the homogeneous form of the given ODE. (x - 2y + 4)dx + (x - y)dy = 0 a. (u + v)du + (u - v)dv = 0 b. (u-v)du + (u + 2v)dv = 0 c. (u2v)du +(u-v)dv = 0 d. (u + 2v)du + (u + v)dv = 0
Using the appropriate substitution, what is the homogeneous form of the given ODE. (x - 2y + 4)dx + (x - y)dy = 0 a. (u + v)du + (u - v)dv = 0 b. (u-v)du + (u + 2v)dv = 0 c. (u2v)du +(u-v)dv = 0 d. (u + 2v)du + (u + v)dv = 0
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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![Using the appropriate substitution, what is the homogeneous form of the given ODE.
(x - 2y + 4)dx + (x - y)dy = 0
a. (u + v)du + (u - v)dv = 0
b. (u - v)du + (u + 2v)dv = 0
c. (u2v)du + (u-v)dv = 0
d. (u + 2v)du + (u + v)dv = 0](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fcd77a0de-150a-47e8-ab5d-3a7a573e73e7%2F4093c241-4b16-483d-bb3a-71a51cc6c646%2Fmmtnjcd_processed.png&w=3840&q=75)
Transcribed Image Text:Using the appropriate substitution, what is the homogeneous form of the given ODE.
(x - 2y + 4)dx + (x - y)dy = 0
a. (u + v)du + (u - v)dv = 0
b. (u - v)du + (u + 2v)dv = 0
c. (u2v)du + (u-v)dv = 0
d. (u + 2v)du + (u + v)dv = 0
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