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

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter2: Functions And Graphs
Section2.6: Proportion And Variation
Problem 22E: Find the constant of proportionality. z is directly proportional to the sum of x and y. If x=2 and...
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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
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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