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#1 2014-06-10 10:55:26

MathsIsFun
Administrator
Registered: 2005-01-21
Posts: 7,529

Differential Equations - Introduction

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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#2 2014-06-10 11:25:12

ganesh
Moderator
Registered: 2005-06-28
Posts: 12,919

Re: Differential Equations - Introduction

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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#3 2014-06-10 11:27:01

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 81,392

Re: Differential Equations - Introduction

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.
I have the result, but I do not yet know how to get it.
All physicists, and a good many quite respectable mathematicians are contemptuous about proof.

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#4 2014-06-10 11:30:35

ShivamS
Member
Registered: 2011-02-07
Posts: 3,370

Re: Differential Equations - Introduction

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

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#5 2014-06-10 11:58:23

Agnishom
Real Member
From: The Complex Plane
Registered: 2011-01-29
Posts: 14,191
Website

Re: Differential Equations - Introduction

Nice one. Thanks for putting it up.


'And fun? If maths is fun, then getting a tooth extraction is fun. A viral infection is fun. Rabies shots are fun.'
'God exists because Mathematics is consistent, and the devil exists because we cannot prove it'
'Humanity is still kept intact. It remains within.' -Alokananda

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#6 2014-06-10 12:13:14

MathsIsFun
Administrator
Registered: 2005-01-21
Posts: 7,529

Re: Differential Equations - Introduction

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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#7 2014-06-10 17:56:23

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 81,392

Re: Differential Equations - Introduction

Hi;

You could use a good example problem?


In mathematics, you don't understand things. You just get used to them.
I have the result, but I do not yet know how to get it.
All physicists, and a good many quite respectable mathematicians are contemptuous about proof.

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#8 2014-06-10 18:48:46

MathsIsFun
Administrator
Registered: 2005-01-21
Posts: 7,529

Re: Differential Equations - Introduction

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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#9 2014-06-10 22:40:26

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 81,392

Re: Differential Equations - Introduction

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.
I have the result, but I do not yet know how to get it.
All physicists, and a good many quite respectable mathematicians are contemptuous about proof.

Offline

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