Next year I'll be changing to a university that mainly utilizes Maple over Mathematica. I've heard Maple is better for various tasks, such as symbolic manipulation, ODE, and PDE solving. However, I've also heard that Mathematica is superior in the field of symbolic integration. I've only used Mathematica (versions 4 and 5), and I'm rather curious about Maple (since I will be using it this upcoming year). I just wanted just input from people that have Maple and/or Mathematica.