People do compost livestock, especially when they are far enough from a road/from the renderer to make disposing of the body that way expensive. Searching "composting large animal carcass" will bring you helpful articles from many Agricultural Extension services. Main takeaway: use LOTS of composting material.
I wanted to do this with my horse, but could not talk my husband into trying. (We lived in a rural area, on 10 acres, surrounded by 10 to 40 acre parcels.) I live alone now, in a small city with a 0.2 acre yard, and have successfully composted two of my dogs (55 lbs and 70 lbs.) Lots of sawdust and wood chips underneath, 3 cubic yards of compost and composting material on top, no odor.
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I wanted to do this with my horse, but could not talk my husband into trying. (We lived in a rural area, on 10 acres, surrounded by 10 to 40 acre parcels.) I live alone now, in a small city with a 0.2 acre yard, and have successfully composted two of my dogs (55 lbs and 70 lbs.) Lots of sawdust and wood chips underneath, 3 cubic yards of compost and composting material on top, no odor.