Bump DifferentiationInterface compat to 0.5

[gdalle]

Checklist

• Appropriate tests were added
• Any code changes were done in a way that does not break public API
• All documentation related to code changes were updated
• The new code follows the
  contributor guidelines, in particular the SciML Style Guide and
  COLPRAC.
• Any new documentation only uses public API

Additional context

I recently released DifferentiationInterface v0.5. The major breaking change is that AutoSparse backends can only compute Jacobians and Hessians, and the other operators are no longer supported.

My philosophy is to be very minimalist in DI. As a result, downstream packages may have to combine several backend objects to fulfill all their needs. For instance, the user could provide a first order backend for gradients, and a sparse second-order backend for Hessians.

This change doesn't seem breaking for SimpleNonlinearSolve, but it's better to take it into account early and not allow DI v0.4, so that the SciML ecosystem adjusts accordingly.

[codecov]

Codecov Report

All modified and coverable lines are covered by tests ✅

Project coverage is 90.50%. Comparing base (6b682af) to head (2d4e6d5).

Additional details and impacted files

@@            Coverage Diff             @@
##             main     #150      +/-   ##
==========================================
+ Coverage   90.34%   90.50%   +0.15%     
==========================================
  Files          21       21              
  Lines        1202     1200       -2     
==========================================
  Hits         1086     1086              
+ Misses        116      114       -2     

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[gdalle]

@avik-pal I think this one is an easy merge ;)

[gdalle]

@ChrisRackauckas ?

[gdalle]

Thanks for merging @ChrisRackauckas! Could you maybe bump the patch version and release this?