Translation of a German book about ODEs

[Buffu]

I need a translation of "Differentialgleichungen : Losungsmethoden und Losugen", I guess it is written in German. This book was referenced in Shepley L. Ross' book on ODE.

If the English translation is not unavailable, I am fine with a book that contains a "list" of special differential equations and their solutions.

I am just interested in knowing special types of ordinary differential equations.

 

[Baluncore]

Maybe the reference is to:
"Differentialgleichungen: Lösungsmethoden und Lösungen", by Erich Kamke.
Notice that it was printed in two volumes.

It was reprinted in 2013, Softcover, ISBN 9783663120582 / 3663120589

Search for any book by title, author and language. https://www.bookfinder.com
Apart from his “Theory of Sets”, I see no books by Erich Kamke that are not in German.

 

[Demystifier]

Apart from his “Theory of Sets”, I see no books by Erich Kamke that are not in German.

Some of his books are translated to Russian, but I guess it doesn't help.

 

[Buffu]

Some of his books are translated to Russian, but I guess it doesn't help.

Yes, I don't know Russian also.

Maybe the reference is to:
"Differentialgleichungen: Lösungsmethoden und Lösungen", by Erich Kamke.
Notice that it was printed in two volumes.

It was reprinted in 2013, Softcover, ISBN 9783663120582 / 3663120589

Search for any book by title, author and language. https://www.bookfinder.com
Apart from his “Theory of Sets”, I see no books by Erich Kamke that are not in German.

Any other similar book or online resource ? I don't think I am the only one who needs such a book.

 

[Baluncore]

If you type ' ordinary differential equation solutions ' into the search title field of bookfinder.com you will get many results.
Use google to find those that are available on the web as pdf files on .edu sites.

 

[Buffu]

If you type ' ordinary differential equation solutions ' into the search title field of bookfinder.com you will get many results.
Use google to find those that are available on the web as pdf files on .edu sites.

I am overwhelmed by the amount of results. Can you help me sort some good ones out ?

 

[Baluncore]

I am overwhelmed by the amount of results. Can you help me sort some good ones out ?

I doubt it. I do not know what you really want or why you want it. If you find a useful book in a library or on the web, you can buy a copy, through Amazon if possible to benefit PF. You can also “invent” the title of the book you want and search to find that. Then use a library or google books to see if it has what you want.

 

[Buffu]

I doubt it. I do not know what you really want or why you want it. If you find a useful book in a library or on the web, you can buy a copy, through Amazon if possible to benefit PF. You can also “invent” the title of the book you want and search to find that. Then use a library or google books to see if it has what you want.

Ok no problem. Thanks for help anyways.

 

[bigfooted]

The Kamke book is basically a long list of solution methods without too much insight, followed by a database of differential equations and their solutions. A similar book is Murphy 'ordinary differential equations and their solutions'. These databases are used for validation of symbolic ode solvers (maple, mathematica, maxima, ...).

If you want the actual list of differential equations from both Kamke and Murphy, you can find it in the repository of the maxima CAS:

https://github.com/andrejv/maxima/tree/master/share/contrib/diffequations/tests

Most of these odes are not that special and the list was compiled in a time when classification of odes was immature. A number of first order odes in the list for instance are linear, separable or exact, so not very interesting. There are more logical classification methods based on the properties of the Galois group or the symmetries.

 

[jim mcnamara]

http://dlmf.nist.gov/
This is the NIST Digital Library of Mathematical functions - the successor to Abramowitz and Stegun. Consider this as a possible source for what you need.