depicting blowups

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Is there a way to make nice images of blowups?

For instance you can always find a picture of the blowup of $y^2 = x^2 +x^3$

for example, https://www.math.purdue.edu/~arapura/graph/nodal.html

But I what if I want to blowup $x^2 - y^5=0$, something that requires multiple blowups?

How do I make a nice drawing of it?

I'm looking for something that works nice in my browser, some matlab code, or an easy to use javascript library.