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Are there datasets to solve differential equations in a supervised fashion?

More precisely, the input is a differential equation and the label should be the general solution to that differential equation.

I've searched the internet and nothing has come up. I'm looking for some recommendations.

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  • $\begingroup$ Differential equations are used to model nonlinear plants. They are describing physical, social or mechanical systems. The process of converting a dataset back into the differential equation or into a neural network is called system identification. The “nonlinearbenchmark” is a famous database in the internet, but the “STADIUS's Identification Database” provides also some example datasets. $\endgroup$ – Manuel Rodriguez Oct 5 at 21:06
  • $\begingroup$ I think someone with a stronger mathematics background than myself should answer this. I recommend finding an expert. Best wishes. $\endgroup$ – Tautological Revelations Oct 14 at 13:19

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