ASKSAGE: Sage Q&A Forum - Latest question feedhttp://ask.sagemath.org/questions/Q&A Forum for SageenCopyright Sage, 2010. Some rights reserved under creative commons license.Sun, 18 Aug 2013 04:04:58 -0500Pattern matching in differential equationshttp://ask.sagemath.org/question/10452/pattern-matching-in-differential-equations/We have the following functional equation:
f(x*y)+f(x*(1-y))+f((1-x)*y)+f((1-x)*(1-y)) == f(x)+f(1-x)+f(y)+f(1-y)
Differentiating by x then y we get a second order differential equation which contains the pattern g(t)=f'(t)+tf''(t) three times with different expressions for t.
How can I change the occurences of the patterns to the appropriate g(.)?
czsanSun, 18 Aug 2013 04:04:58 -0500http://ask.sagemath.org/question/10452/