
Differential Equations Ordinary and Partial Differential Equations Math Forum 
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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' = xy 2) 2xyy' = (x^2)+2(y^2) 3) x(x+y)y' = y(xy) 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 $v$.

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 

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diff, eqns, linear 
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