Suppose that $\phi$ is a smooth flow, i.e., $\phi(0,x)=x$ and $\phi(t+s,x)=\phi(t,\phi(s,x))$. I want to prove that there is a differential equation whose flow is $\phi$. Moreover, is that possible that two different differential equations have the same flow?
2026-03-25 18:45:49.1774464349
Prove that there is a differential equation whose flow is $\phi$
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