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Iosif Pinelis
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This ODE is extremely unlikely to have an explicit solution. Mathematica cannot do anything with this ODE even when $g(x)\equiv x$.

Here is an image of the corresponding Mathematica notebook:

enter image description hereenter image description here

And here is a link to the Mathematica notebook itself.

This ODE is extremely unlikely to have an explicit solution. Mathematica cannot do anything with this ODE even when $g(x)\equiv x$.

Here is an image of the corresponding Mathematica notebook:

enter image description here

And here is a link to the Mathematica notebook itself.

This ODE is extremely unlikely to have an explicit solution. Mathematica cannot do anything with this ODE even when $g(x)\equiv x$.

Here is an image of the corresponding Mathematica notebook:

enter image description here

And here is a link to the Mathematica notebook itself.

Source Link
Iosif Pinelis
  • 127.7k
  • 8
  • 107
  • 229

This ODE is extremely unlikely to have an explicit solution. Mathematica cannot do anything with this ODE even when $g(x)\equiv x$.

Here is an image of the corresponding Mathematica notebook:

enter image description here

And here is a link to the Mathematica notebook itself.