Hi

I'm trying to find Euler's method for solving Diophanitne equations... at this stage only first order equations

Thanks in advance for the assistance

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- Apr 27th 2006, 01:33 PMdelpinDiophantine equations and Euler
Hi

I'm trying to find Euler's method for solving Diophanitne equations... at this stage only first order equations

Thanks in advance for the assistance - Apr 27th 2006, 02:58 PMThePerfectHackerQuote:

Originally Posted by**delpin**

There is no specific way to solve a Diophantine equation. In fact some Diophantine equations cannot even be proven to they have no solutions! This was one of Hilbert's 23 Problems. Euler was able to prove them/solve them because he was talented.

You might be asking about Differencial equations but just confused the words with Diophantine equations. There is such a thing called Euler's method in the theory of differencial equations, maybe you are asking that? - Apr 27th 2006, 03:17 PMdelpinDefinitely Diophantine Equations
I have found some information about Euclid and Diophantine Equations but I have been asked about Euler... and most definitely

__not__differential equations - Apr 27th 2006, 03:30 PMThePerfectHackerQuote:

Originally Posted by**delpin**

1)Linear in two variables.

2)Pell's equation and countinued fractions.

3)Infinite Descent and Fermat's Last Theorem. - May 23rd 2006, 06:28 AMsrulikbdtake look at this
http://www.alpertron.com.ar/QUAD.HTM

does it find all solution? (integer of course)

tnx