How to draw Stationary Solution for functions 1/4 t^{2} and - 1/4 t^{2} from y' = \sqrt{|y|}

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1

Hi all,

this is a simple question, I wonder how to plot the stationary solution

with

y' = \sqrt{|y|}

y(0) = 0

The lecturer draws this, and I want to know how to plot it with Julia

Capture d’écran_2022-09-21_16-37-46

2

It’s an ODE with a non-unique solution. Numerical integrators will only pull one solution, and that will be the zero solution.

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3

I think I need to learn from the very beginning of ODE, thanks for the answer