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**MathsIsFun****Administrator**- Registered: 2005-01-21
- Posts: 7,535

A new page: Differential Equations - Introduction

Could you please go over this with a fine-tooth comb and find any inaccuracies. In my attempt to simplify I may have gone too far.

Suggestions and comments also 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: 14,437

Hi MathsIsFun,

The page on Differential Equations is fabulous; the diagrams and literature are immaculate.

Thanks for the remarkable work!

Character is who you are when no one is looking.

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 86,636

Hi MIF;

I thought the degree of an ODE was the power that the highest derivative was raised to. So the degree of

(near the bottom )would be 1 not 2. Unless I am wrong about the definition.

**In mathematics, you don't understand things. You just get used to them.Of course that result can be rigorously obtained, but who cares?Combinatorics is Algebra and Algebra is Combinatorics.**

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**ShivamS****Member**- Registered: 2011-02-07
- Posts: 3,531

Great page, albeit a bit too oversimplified (in my opinion) but good for introductory purposes.

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Nice one. Thanks for putting it up.

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**MathsIsFun****Administrator**- Registered: 2005-01-21
- Posts: 7,535

Thanks Guys!

bobbym wrote:

I thought the degree of an ODE was the power that the highest derivative was raised to.

Yes, will fix.

"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: 86,636

Hi;

You could use a good example problem?

**In mathematics, you don't understand things. You just get used to them.Of course that result can be rigorously obtained, but who cares?Combinatorics is Algebra and Algebra is Combinatorics.**

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**MathsIsFun****Administrator**- Registered: 2005-01-21
- Posts: 7,535

Got a good one have you?

"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: 86,636

I did, but I do not remember much about it. The question was if the earth stopped dead in its orbit and was allowed to fall into the sun how long would it take? I remember spending a lot of time on small handheld programmable calculators numerically solving the DE. It is all better done with Kepler's laws and no calculus at all. Maybe someone else has a good example?

**In mathematics, you don't understand things. You just get used to them.Of course that result can be rigorously obtained, but who cares?Combinatorics is Algebra and Algebra is Combinatorics.**

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