`(dy)/dx = x/y`
This differential equation is separable since it can be re-written in the form
So separating the variables, the equation becomes
`ydy = xdx`
Integrating both sides, it result to
`int y dy = int x dx`
`y^2/2 + C_1 = x^2/2 + C_2`
Isolating the y, it becomes
`y^2=x^2 + 2C_2 - 2C_1`
Since C2 and C1 represents any number, it can be expressed as a single constant C.
`y = +-sqrt(x^2+C)`
Therefore, the general solution of the given differential equation is `y = +-sqrt(x^2+C)` .