You seem to have the same final equation as me, except you wrote is it x = f(y) instead of y = f(x).

And I would like to hear the simple solution. If you don't want to post it here to spoil others can you PM me? I'm known for solving problems the hard way when there's a very simple solution

PS, does the simple solution also give you the curve of the path, or just the time it takes the wolf to catch the chicken?