GRE mathematics 1

Forum for the GRE subject test in mathematics.
STATISTICS
Posts: 12
Joined: Wed Sep 09, 2015 9:42 pm

GRE mathematics 1

Postby STATISTICS » Tue Sep 15, 2015 9:24 pm

Q1: How many different partial derivatives of order k are possible for a function f(x1,x2,....,xn) of n variables.
The answer is k-combinations of n+k-1.
Can anyone give an explanation in details?

Q2:The differential equation dp/dx=p(1-p)(p-2), 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.

BreakingBad
Posts: 22
Joined: Fri Feb 14, 2014 2:36 pm

Re: GRE mathematics 1

Postby BreakingBad » Tue Sep 15, 2015 10:25 pm

Regarding 1: This is a "Stars and Bars" application. See here: http://www.johndcook.com/blog/select_with_replacement/




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