Find the general solution of the differential equation `(dy)/(dx)+sqrt((1-y^2)/(1-x^2))=0`.

Explanation

`(dy)/(dx)=-sqrt((1-y^(2))/(1-x^(2)))`
`implies (dy)/(sqrt(1-y^(2)))=-(dx)/(sqrt(1-x^(2)))`
`implies int(dy)/(sqrt(1-y^(2)))+int(dx)/(sqrt(1-x^(2)))=c`
`implies sin^(-1)y+sin^(-1)x=c`