I want to visualize the solution of a Lagrange differential equation $y=2xy'-3(y')^2$ (Example 1 in here). Analytic solutions are fine: a singular solution $y=0$, and a parametric family of solutions. When I plot the graph of a parametric solution ($C=0.4$, using TikZ), I got the following figure that seems to be wrong. I can not explain the behavior of the blue curve! Also it does not fit with Wolfram Alpha graph.
Any explanation for that? Thanks in advances!
https://www.overleaf.com/read/fkccgwjdgwrb
