Find the general solution of D.E. below. (x- 2y) dx + (2x -y) dy = 0 Show your solutions on a separate sheet of paper. A In (x^2 + y^2) + 4 arctan(y/x) = c B In (x+ y) + 4 arctan(y/x) = c In (x^2+ y^2) + 4 arcsin(x/y) = c D In (x^2 - y^2) - 4 arctan(x/y) = c

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Find the general solution of D.E. below.
(x - 2y) dx + (2x +y) dy = 0
Show your solutions on a separate sheet of paper.
A In (x^2 + y^2) + 4 arctan(y/x) = c
B In (x+ y) + 4 arctan(y/x) = c
C In (x^2 + y^2) + 4 arcsin(x/y) = c
In (x^2 - y^2) - 4 arctan(x/y) = c
Transcribed Image Text:Find the general solution of D.E. below. (x - 2y) dx + (2x +y) dy = 0 Show your solutions on a separate sheet of paper. A In (x^2 + y^2) + 4 arctan(y/x) = c B In (x+ y) + 4 arctan(y/x) = c C In (x^2 + y^2) + 4 arcsin(x/y) = c In (x^2 - y^2) - 4 arctan(x/y) = c
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