For a short 5' walk, if the soil is workable, you can bang a pipe under with a sledge hammer and pull it out with a pipe wrench. Fast, clean, cheap and easy.
If the soil is a little to hard you can make a "shooter". Attach a hose adapter to one end of a PVC pipe and a nozzle to the other by means of a male adapter and whatever reducers necessary. Hook it to your hose, lay it FLAT in the trench and turn on the water. Fast, MESSY, cheap and easy.
One of theses days I'll get a borzit.
Make sure you use a GFCI protected source for that borzit drill!!