Using the substitutions X =u+2, y=w+2; dx= du, dy= dw, the DE with linear coefficients (x +y-4)dx – (3x-y-4)dy=0 reduces to A (u+ w)du + (3u – w)dw=0 B (u+w+4)du+(3u-w- 4)dw=0 (c) (u+w+2)du+(3u-w-2)dw=0 (u+w-4)du+(3u-w- 4)dw=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 18E
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Using the substitutions X =u+2, y=w+2; dx= du, dy= dw, the DE with linear coefficients
(x +y- 4)dx – (3x- y-4)dy=0 reduces to
(A
(u + w)du+ (3u– w)dw=0
B
(u+w+4)du+ (3u-w-4)dw=0
(u+w+2)du+(3u-w-2)dw=0
(u+w-4)du+(3u-w-4)dw=0
Transcribed Image Text:Using the substitutions X =u+2, y=w+2; dx= du, dy= dw, the DE with linear coefficients (x +y- 4)dx – (3x- y-4)dy=0 reduces to (A (u + w)du+ (3u– w)dw=0 B (u+w+4)du+ (3u-w-4)dw=0 (u+w+2)du+(3u-w-2)dw=0 (u+w-4)du+(3u-w-4)dw=0
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