Find the general solution of the DE x(y? + x)dy - y(y?- x²)dx% = 0. %3D (x-y) In x +y In y =cx + y O y2 = -2x2 In (cxy) O x-(x2 + 2y²) = c O x2 +4y2 = c(x + y)
Find the general solution of the DE x(y? + x)dy - y(y?- x²)dx% = 0. %3D (x-y) In x +y In y =cx + y O y2 = -2x2 In (cxy) O x-(x2 + 2y²) = c O x2 +4y2 = c(x + y)
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:Find the general solution of the DE x(y? + x²)dy- y(y?- x)dx = 0.
%3D
(x-y) In x +y In y =cx + y
O y? = -2x2 In (cxy)
O x2(x2 + 2y2) = c
O x +4y2 c(x + y)
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