feat: add `SemilinearODEFunction` and `SemilinearODEProblem`#3739

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AayushSabharwal wants to merge 11 commits intoSciML:masterfrom

AayushSabharwal:as/semilinear-odeprob

Commits on Aug 12, 2025

refactor: use `Symbolics.semilinear_form` for `LinearProblem` codegen
AayushSabharwal
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fix: fix optimization in array construction codegen
AayushSabharwal
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feat: allow adding constant and nonnumeric parameters to `IndexCache` after construction
AayushSabharwal
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feat: add `SemilinearODEFunction` and `SemilinearODEProblem`
AayushSabharwal
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fix: implement `is_array_of_symbolics` for `SparseMatrixCSC`
AayushSabharwal
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fix: implement `recursive_unwrap` for `SparseMatrixCSC`
AayushSabharwal
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fix: implement `vars` for `SparseMatrixCSC`
AayushSabharwal
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fix: fix automated Problem/Function docstring generation
AayushSabharwal
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docs: document `SemilinearODEProblem` and `SemilinearODEFunction`
AayushSabharwal
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test: test `SemilinearODEProblem`, `SemilinearODEFunction`
AayushSabharwal
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refactor: mark sparse form of SemilinearODEProblem as unavailable
AayushSabharwal
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