Phase portrait - MaplePrimes

Question:Phase portrait

Posted: myphi 45 Product: Maple

June 12 2019

I have the equation (𝑑𝑥/𝑑𝑡)^2=𝑎𝑥^3+𝑏𝑥^2+𝑐𝑥+𝑑.

How do I plot 𝑑𝑥/𝑑𝑡 against x? (as the coefficients a, b, c and d vary)

I expect it looks like the following graph:

Thank you for your help.

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