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Way to evaluate D[(1-x^2)y''[x],{x,n}] ?


I'm wondering if and how to make Mathematica evaluate  derivatives like

D[(1-x^2)y''[x],{x,n}]

y[x] is an unspecified function, n is a +ve integer.

It seems as though the system ought to "know" that this reduces to three
terms only, provided that n is constrained?


-Phillip


----------------------------------+----------------------------
 Dr Phillip Kent                  | tel: +44 (0)171 594 8503  
 The METRIC Project               | fax: +44 (0)171 594 8517
 Mathematics Department           | 
 Imperial College                 | p.kent at ic.ac.uk 
 London SW7 2BZ, U.K.             | http://metric.ma.ic.ac.uk/
----------------------------------+----------------------------
 "Behaviour can be understood only as the history of behaviour"


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