https://www.wolframalpha.com/input/?i=(dy%2Fdx)%5E2)%2B1%3Dy%5E2
says (dy/dx)^2)+1=y^2 => y=cosh(x+c), y=cosh(x-c)
while it should be y=±cosh(x+c), y=±1
The two answers provided are same, and some results don't show