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Differential Equations Ordinary and Partial Differential Equations Math Forum


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November 12th, 2014, 06:30 PM   #1
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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?
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November 12th, 2014, 07:03 PM   #2
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All three are homogeneous so you may use $y=vx$ and solve for $v$.
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November 12th, 2014, 10:45 PM   #3
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Also, take a look at this thread: Doubt with Homogenous Differential Equation
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