Binomial and Taylor expansion of differential Equations

[G B Reid MIMechE, SIMarEST 75]

Okay....this is a bit of a role reversal....I'm far more used to offering guidance and answers than asking the questions, but here it goes....

Can anyone give a reference to a good, easy-to-follow(!), text of Taylor and Binomial expansion of Differential equations?  Specifically that used in "Variational Calculus".

This is something I have covered in the dim and distant past...and as the saying goes..."it's not what you know, its what you think you know and don't realise you have forgotten!"...alas, it appears I have forgotten!  I have some texts on the subject, but alas insufficient to clear my mental block!

Many thanks to all!

 

Edited April 15 by G B Reid MIMechE, SIMarEST
grammatical clarity

[DrD 820]

I'm pretty familiar with variational methods, but I'm not quite clear about what you want. Can you cast your question in the context of a specific problem, perhaps?

If not, shoot me a PM and we'll talk.

DrD