Lyapunov stability f.o.differential equation

Question

I have first order differential equation: $$y'-\frac{y}{x}+3y^2x=0$$ I found a general solution: $$y=\frac{x}{x^3+C_1}$$ $$C_1=\frac{x-x^3y}{y}$$ How can I check the stability of the solutions $y(1)=0$ and $y(1)=1$ to the following differential equation using the Lyapunov stability definition?