Verify that the given function (explicit or implicit) isa solution of the correseponding differential equation : `y = sqrt(1 + x^2) : y' = (xy)/(1 + x^2)`

Explanation

`y = sqrt(1 + x^2)`
`y.= 1/(2 sqrt(1+x^2)) (0+2x)`
`=x/sqrt(1+x^2) = (xsqrt(1+x^2))/(1+x^2) = (xy)/(1 + x^2) `
`therefore y = sqrt(1 + x^2)` is a solution of `y. = (xy)/(1+x^2)`