An interesting ODE perhaps?

  • Thread starter gvk
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  • #1
gvk
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Very simple in writing, but hard to solve:
[tex] x*\frac{dy}{dx}=(y^2-y x^2)/(y^2+x^2)[/tex]
:tongue2:
 

Answers and Replies

  • #2
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gvk said:
Very simple in writing, but hard to solve:
[tex] x*\frac{dy}{dx}=(y^2-y x^2)/(y^2+x^2)[/tex]
:tongue2:
Maybe convert to polar coodinates? That x2+y2 wants to be r2. Maybe not though :smile:

Alex
 
  • #3
saltydog
Science Advisor
Homework Helper
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gvk said:
Very simple in writing, but hard to solve:
[tex] x*\frac{dy}{dx}=(y^2-y x^2)/(y^2+x^2)[/tex]
:tongue2:

I tend to look at it this way:

[tex](y^2-yx^2)dx-(xy^2+x^3)dy=0[/tex]

but are unable to proceed. It's not exact, can't make it exact, and can't come up with any differentials by inspection.
 

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