Compared to the rest of the calculations that went into getting the probe off earth and into constant velocity travel:
Very, very easily.
Edit: I suppose this warrants a slight bit more explanation. Even in our solar system we are dealing with predominantly empty space. Gravitational effects at the distances from the celestial bodies to the probe are nigh negligible (initial trajectory calculated accordingly so that it doesn't pass too close to say, Jupiter), and up to leading order all of the objects in the solar system can be taken to be in an equatorial plane.
So really this is how it goes: plot simulated path on computers -> run thousands and thousands of modified simulations based on x,y, z things until most probabilistically stable trajectory found -> deal with hassle of launching shit into space -> deal with hassle of adjusting initial position and velocity via small correctional bursts -> afk a decade during constant velocity travel.
Edit 2: looks like they actually put it on a path to slingshot it around jupiter. Cool. So you'll notice the path is basically two straight lines. e > j and j > peace out bitches.
http://youtu.be/4psXxa5v9Q8