where
.
Once you use your initial condition to find , you'll see that this is a circle of radius , in other words, the only point is the origin.
ok so y(dy/dx) = -x y(0) = 0 and im supposed to draw an approximation solution curve going through the point ? im not sure what i should be doing here. so i separated the variables and got y= sqrt(-x^2 + C). which i dont think can be sketch because its negative under the radical sign. any help would be appreciated