Recurrence equation value error
Hello, As an anxious student I tried googling for an answer for 2hours without any result. I'm new Sagemath user.
I have to solve equation:
a[n+2]-4*a[n+1]+4*a[n]=2^n+cos(n*pi/2), a[0]=1, a[1]=2
My sage input is:
from sympy import *
y = Function('y')
n = Symbol('n',integer=True)
rsolve(y(n+2)-4*y(n+1)+4*y(n)-2^n-cos(n*pi/2), y(n), {y(0):1,y(1):2})
But I'm getting an error:
ValueError: 'y' expected, got 'cos'
Sage has some problems with cosine function, any idea how to solve it?
This is really a sympy question. Hopefully someone can help, but you may also want to ask at http://groups.google.com/group/sympy for a backup.
Also, it's conceivable that when you imported *everything* from Sympy that some Sage object was clobbered, or maybe Sympy doesn't expect more than one type of function in its recurrences, or something.