Q1: How many different partial derivatives of order k are possible for a function f(x1,x2,....,xn) of n variables.
The answer is kcombinations of n+k1.
Can anyone give an explanation in details?
Q2:The differential equation dp/dx=p(1p)(p2), possess the three equilibrium solutions p1=0, p2=1, p3=2, which of these are stable?
Also need an explanation in details........
Thanks for your replies.
GRE mathematics 1

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 Joined: Fri Feb 14, 2014 2:36 pm
Re: GRE mathematics 1
Regarding 1: This is a "Stars and Bars" application. See here: http://www.johndcook.com/blog/select_with_replacement/