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#26 2014-05-03 12:05:24

Agnishom
Real Member
From: The Complex Plane
Registered: 2011-01-29
Posts: 17,187
Website

Re: Modified Euler method

bobbym, Is it not possible for him to reduce this into a first order ODE by integrating both sides


'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'
'You have made another human being happy. There is no greater accomplishment.' -bobbym

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#27 2014-05-03 14:24:16

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 87,258

Re: Modified Euler method

Yes, we have done that but there is the little matter of determining the constant of integration.


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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#28 2014-05-03 15:27:13

Agnishom
Real Member
From: The Complex Plane
Registered: 2011-01-29
Posts: 17,187
Website

Re: Modified Euler method

there is but as far as I know when you are differentiating, you are loosing the information about the constants. Euler's method can give it back?


'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'
'You have made another human being happy. There is no greater accomplishment.' -bobbym

Online

#29 2014-05-03 20:03:34

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 87,258

Re: Modified Euler method

You can not get Euler's method going without a knowledge of the initial conditions.


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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