Which of the following is the seperable differential equation form obtained when the transformation = u is applied to the y (x2 – y²e%) dx + (x² + xy)ež dy = 0 (x > 0,y > 0) differential equation? (1-и) du 1+ue u dx а. (1+u) du 1+ueu dx b. (1+u)eu du dx с. 1+u eu du 1+eu dx d. (1+u)eu du 1+ueu dx е.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Which of the following is the seperable differential equation form obtained
when the transformation 2 = u is applied to the
(x? – y²e) dx + (x² + xy)e* dy = 0 (x > 0, y > 0)
differential equation?
dx
(1-и)
du
1+ue u
а.
dx
(1+u)
du
1+ueu
b.
dx
(1+u)eu
du
с.
1+u
eu
du
1+eu
dx
d.
(1+u)eu
du
1+ueu
dx
е.
Transcribed Image Text:Which of the following is the seperable differential equation form obtained when the transformation 2 = u is applied to the (x? – y²e) dx + (x² + xy)e* dy = 0 (x > 0, y > 0) differential equation? dx (1-и) du 1+ue u а. dx (1+u) du 1+ueu b. dx (1+u)eu du с. 1+u eu du 1+eu dx d. (1+u)eu du 1+ueu dx е.
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