In Genius Season 1 Episode 1 at 9:00, Young Albert Einstein defies his teacher by solving the equation on board and states
Natural log of constant multiplied by x equals natural log of one plus v squared. And since v equals y over x. That gives us the final function: x squared plus y squared minus c x cubed equals zero.
What is he talking about?
The question was asked first on Movies/TV stackexchange and then on math stackexchange but it was suggested from the members that the question would fare well on physics stackexchange. However if someone considers this question unsuitable for the stackexchange let me know.
I am perfectly aware what does the context translates into. What I am asking is whether the equation is known for something. Like "$c^2=a^2+b^2$" instantly make us recall of "Pythagoras Theorem". In the same sense, does the provided context above hold any significant meaning?