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 November 12th, 2014, 06:30 PM #1 Newbie   Joined: Sep 2014 From: India Posts: 8 Thanks: 0 non linear diff. eqns solve; 1) (x+y)y' = x-y 2) 2xyy' = (x^2)+2(y^2) 3) x(x+y)y' = y(x-y) y' = dy/dx how could above equations are to be solved?
 November 12th, 2014, 07:03 PM #2 Math Team   Joined: Dec 2013 From: Colombia Posts: 7,671 Thanks: 2651 Math Focus: Mainly analysis and algebra All three are homogeneous so you may use $y=vx$ and solve for $v$. Thanks from topsquark and szz
 November 12th, 2014, 10:45 PM #3 Senior Member     Joined: Oct 2014 From: EU Posts: 224 Thanks: 26 Math Focus: Calculus Also, take a look at this thread: Doubt with Homogenous Differential Equation Thanks from topsquark and JINS K JOHN

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