Drain hose of washing machine too low?
I'm going to assume that there's not a trap inside the wall, but if I'm wrong please correct me.

You're going to want to build a standpipe.  Start by installing a P-trap into that pipe in the wall.  It's hard to tell from the picture what type of pipe it is, but you'll want to use something compatible to make the connection between pipe and trap.

From the other end of the P-trap, you'll want a 2" diameter pipe going straight up 18"-42" long.

You'll then put the washer drain into the top of the standpipe, as described in the manufacturer's installation instructions. 

When you're done, it should look something like this.