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This is part 1 of a redesign of #2318 to make it actually mergable. Specifically, this PR updates OrdinaryDiffEqRosenbrock and OrdinaryDiffEqNonlinearSolve to pass the du, u, p, and t via the NonlinearProblem rather than to dolinsolve. In a followup PR, I will then remove these fields from dolinsolve, but I think doing things this way will make it so we can make the OrdinaryDiffEqDifferentiation change require a new enough version of the solver libraries to not get unexpected inputs.

@ChrisRackauckas ChrisRackauckas mentioned this pull request Aug 10, 2025
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