Support public API with SciMLPublic

[Tokazama]

No description provided.

[codecov]

Codecov Report

✅ All modified and coverable lines are covered by tests.
✅ Project coverage is 88.45%. Comparing base (fd67cf7) to head (bf96200).
⚠️ Report is 14 commits behind head on master.

Additional details and impacted files

@@            Coverage Diff             @@
##           master      #43      +/-   ##
==========================================
- Coverage   89.09%   88.45%   -0.64%     
==========================================
  Files          11       11              
  Lines        1320     1317       -3     
==========================================
- Hits         1176     1165      -11     
- Misses        144      152       +8     

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[Tokazama]

@ChrisRackauckas, could I have author access here so I can fix the docs and tests here. Of course, any actual code added going forward would still follow ColPrac guidelines.

[ChrisRackauckas]

Main thing is to make sure invalidations keep going down.