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edited Feb 17, 2021 at 21:58

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Is there a general solution for thisthe differential equation? $f''(x) = f(f(x))$?

I'm currently an undergraduate studying differential equations and I've been fixated on thisthe differential equation $f''(x) = f(f(x))$ for the past 2 days. I can't seem to crack it but it feels like it should have a general solution?

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edited Feb 17, 2021 at 7:38

gmvh

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ca.classical-analysis-and-odes differential-equations functional-equations

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edited Feb 17, 2021 at 4:30

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Is there a general solution for this differential equation? f''$f''(x) = f(f(x))$

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edited Feb 17, 2021 at 4:25

Willie Wong

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edited Feb 17, 2021 at 3:11

Trevor Krumrine

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asked Feb 17, 2021 at 3:06

Trevor Krumrine

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Is there a general solution for thisthe differential equation? $f''(x) = f(f(x))$?

Is there a general solution for this differential equation? $f''(x) = f(f(x))$

Is there a general solution for the differential equation $f''(x) = f(f(x))$?

Is there a general solution for this differential equation? f''$f''(x) = f(f(x))$