To reduce the DE (x+2y-4)dx – (2x+y-5)dy=0 to a DE with homogeneous coefficients, use the transformations

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Question 16
To reduce the DE (x+2y-4)dx-(2x+y-5)dy=D0 to a DE with homogeneous coefficients, use the
transformations
x=u-2; dx=du
A
y=w- 1; dy= dw
x=u-1; dx=du
y=w-2; dy = dw
x=u+1; dx=du
y=w+2; dy = dw
x=u+2; dx= du
y=w+1; dy= dw
D
B)
Transcribed Image Text:Question 16 To reduce the DE (x+2y-4)dx-(2x+y-5)dy=D0 to a DE with homogeneous coefficients, use the transformations x=u-2; dx=du A y=w- 1; dy= dw x=u-1; dx=du y=w-2; dy = dw x=u+1; dx=du y=w+2; dy = dw x=u+2; dx= du y=w+1; dy= dw D B)
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