John Deere X590 Garden Tractor | Clearing out Weed Hill 

Clearing out the part of our backyard with just weeds using the John Deere X590 tractor. We have tried to grow grass in this area in the past but since the the slope is north facing and a big tree shades the area, there is barely any direct sunlight and grass can't get a foothold against the weeds. This hill is very steep with a measured slope angle of 25º at the steepest part (46% gradient), so I have to wait for at least a week straight of no rain before going down there because I've had a few sketchy moments with the tractor when it was muddy. The tractor manual says maximum slope of 15º for safety. 😅😅😅
I also do not want to use non-selective herbicides because I still want vegetation there, otherwise, erosion is likely going to be a problem in the future if I constantly nuke the vegetation. I have resigned to the idea of just maintaining the trim to this area every month or so. The other side of the ditch with the tall vegetation, where I can't get the tractor to, hasn't been trimmed in 4 months.