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**MathsIsFun****Administrator**- Registered: 2005-01-21
- Posts: 7,612

And another in the Diff Eq series: Homogeneous Differential Equations

The main weakness in this page is no explanation of why they are "Homogeneous". I played with linking **f(zx,zy) = z^n f(x,y)** to **dy/dx=F(x/y)** form but failed. If anyone knows a user-friendly way of explaining why "Homogeneous" that would be nice.

Comments, suggestions and error checking welcome.

"The physicists defer only to mathematicians, and the mathematicians defer only to God ..." - Leon M. Lederman

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**ganesh****Moderator**- Registered: 2005-06-28
- Posts: 20,915

Hi MathsIsFun,

The page on *Homogeneous Differential Equations* is well made.

Thanks, MathsIsFun!

It is no good to try to stop knowledge from going forward. Ignorance is never better than knowledge - Enrico Fermi.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 104,281

Hi;

First example can have a negative solution also. Second example is correct. You can solve for y in the third example.

**In mathematics, you don't understand things. You just get used to them.****If it ain't broke, fix it until it is.** **A number by itself is useful, but it is far more useful to know how accurate or certain that number is.**

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**MathsIsFun****Administrator**- Registered: 2005-01-21
- Posts: 7,612

Thanks bobby ... yes and yes: ±√(2x^2+c) − x is what I get now.

"The physicists defer only to mathematicians, and the mathematicians defer only to God ..." - Leon M. Lederman

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 104,281

Hi;

Nice page!

**In mathematics, you don't understand things. You just get used to them.****If it ain't broke, fix it until it is.** **A number by itself is useful, but it is far more useful to know how accurate or certain that number is.**

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