Direction : Consider the following for the items that follow :

Let ydx + (x - y³)dy = 0 be a differential equation.  

Direction : Consider the following for the items that follow :

Let ydx + (x - y³)dy = 0 be a differential equation.  

Let $y_1(x)$ and $y_2(x)$ be two solutions of the differential equation $\frac{dy}{dx} = x$. If $y_1(0) = 0$ and $y_2(0) = 4$, then what is the number of points of intersection of the curves $y_1(x)$ and $y_2(x)$?