I am thinking about buying Maple, but I would like to know how it does with the following problem:
These are Maxima commands--let me know if it is not clear what they are doing. I am wondering if someone with Maple could translate these commands into Maple-ese and try them. (Maxima just gives up on this integral.)
r(n,p) is the resistance between node (0,0) and node (n,p) in an infinite square lattice of 1-ohm resistors. Here are the exact symbolic answers you should get for a few nodes:
r(1,3)=-4+46/3pi (This is the one given above)
These answers were gotten with Mathematica, but Mathematica is too expensive for me (they won't sell the student version to a retired electrical engineer pursuing math studies as a hobby).