expv does not work when used in NonlinearSolve.jl equations

**Describe the bug 🐞**

Solver fails when `expv` is in the function. `exponential!` kinda works.

**Expected behavior**

Optimize. See https://discourse.julialang.org/t/how-can-i-use-nonlinearsolve-jl-with-matrix-functions/112379

**Minimal Reproducible Example 👇**

```julia
using NonlinearSolve
using LinearAlgebra
using ExponentialUtilities

dim = 2
function f(u, p)
    v = rand(2)
    return expv(1, u, v) - v*2
end

u0 = rand(dim, dim) * 0.01
p = nothing
prob = NonlinearProblem(f, u0, p)
sol = solve(prob)
display(sol)
err = sol - zeros(dim, dim)
display(err)
```

**Error & Stacktrace ⚠️**

```julia
ERROR: MethodError: no method matching exponential!(::Matrix{ForwardDiff.Dual{ForwardDiff.Tag{…}, Float64, 4}}, ::ExpMethodHigham2005Base)

Closest candidates are:
  exponential!(::StridedMatrix{T}, ::ExpMethodHigham2005Base, ::Any) where T<:Union{Float32, Float64, ComplexF64, ComplexF32}
   @ ExponentialUtilities ~/.julia/packages/ExponentialUtilities/xLH9y/src/exp_baseexp.jl:23
  exponential!(::StridedMatrix{T}, ::ExpMethodHigham2005Base) where T<:Union{Float32, Float64, ComplexF64, ComplexF32}
   @ ExponentialUtilities ~/.julia/packages/ExponentialUtilities/xLH9y/src/exp_baseexp.jl:23
  exponential!(::Any, ::ExpMethodNative, ::Any)
   @ ExponentialUtilities ~/.julia/packages/ExponentialUtilities/xLH9y/src/exp.jl:70
  ...

Stacktrace:
  [1] expv!(w::Vector{…}, t::Int64, Ks::KrylovSubspace{…}; cache::Nothing, expmethod::ExpMethodHigham2005Base)
    @ ExponentialUtilities ~/.julia/packages/ExponentialUtilities/xLH9y/src/krylov_phiv.jl:95
  [2] _expv_hb(t::Int64, A::Matrix{…}, b::Vector{…}; expmethod::ExpMethodHigham2005Base, cache::Nothing, kwargs_arnoldi::@Kwargs{})
    @ ExponentialUtilities ~/.julia/packages/ExponentialUtilities/xLH9y/src/krylov_phiv.jl:51
  [3] _expv_hb(t::Int64, A::Matrix{ForwardDiff.Dual{ForwardDiff.Tag{…}, Float64, 4}}, b::Vector{Float64})
    @ ExponentialUtilities ~/.julia/packages/ExponentialUtilities/xLH9y/src/krylov_phiv.jl:45
  [4] expv(t::Int64, A::Matrix{ForwardDiff.Dual{…}}, b::Vector{Float64}; mode::Symbol, kwargs::@Kwargs{})
    @ ExponentialUtilities ~/.julia/packages/ExponentialUtilities/xLH9y/src/krylov_phiv.jl:38
  [5] expv(t::Int64, A::Matrix{ForwardDiff.Dual{ForwardDiff.Tag{…}, Float64, 4}}, b::Vector{Float64})
    @ ExponentialUtilities ~/.julia/packages/ExponentialUtilities/xLH9y/src/krylov_phiv.jl:35
  [6] f(u::Matrix{ForwardDiff.Dual{ForwardDiff.Tag{NonlinearSolve.NonlinearSolveTag, Float64}, Float64, 4}}, p::Nothing)
    @ Main ./Untitled-1:8
  [7] (::NonlinearFunction{…})(::Matrix{…}, ::Vararg{…})
    @ SciMLBase ~/.julia/packages/SciMLBase/QSc1r/src/scimlfunctions.jl:2197
  [8] (::SciMLBase.JacobianWrapper{false, NonlinearFunction{…}, Nothing})(u::Matrix{ForwardDiff.Dual{…}})
    @ SciMLBase ~/.julia/packages/SciMLBase/QSc1r/src/function_wrappers.jl:97
  [9] vector_mode_dual_eval!(f::SciMLBase.JacobianWrapper{…}, cfg::ForwardDiff.JacobianConfig{…}, x::Matrix{…})
    @ ForwardDiff ~/.julia/packages/ForwardDiff/PcZ48/src/apiutils.jl:24
 [10] vector_mode_jacobian!(result::Matrix{…}, f::SciMLBase.JacobianWrapper{…}, x::Matrix{…}, cfg::ForwardDiff.JacobianConfig{…})
    @ ForwardDiff ~/.julia/packages/ForwardDiff/PcZ48/src/jacobian.jl:145
 [11] jacobian!(result::Matrix{…}, f::Function, x::Matrix{…}, cfg::ForwardDiff.JacobianConfig{…}, ::Val{…})
    @ ForwardDiff ~/.julia/packages/ForwardDiff/PcZ48/src/jacobian.jl:58
 [12] jacobian!(result::Matrix{…}, f::Function, x::Matrix{…}, cfg::ForwardDiff.JacobianConfig{…})
    @ ForwardDiff ~/.julia/packages/ForwardDiff/PcZ48/src/jacobian.jl:56
 [13] sparse_jacobian!(J::Matrix{…}, ::AutoForwardDiff{…}, cache::SparseDiffTools.ForwardDiffJacobianCache{…}, f::SciMLBase.JacobianWrapper{…}, x::Matrix{…})
    @ SparseDiffTools ~/.julia/packages/SparseDiffTools/qxnHN/src/highlevel/forward_mode.jl:60
 [14] (::NonlinearSolve.JacobianCache{…})(J::Matrix{…}, u::Matrix{…}, p::Nothing)
    @ NonlinearSolve ~/.julia/packages/NonlinearSolve/5yLII/src/internal/jacobian.jl:136
 [15] JacobianCache
    @ ~/.julia/packages/NonlinearSolve/5yLII/src/internal/jacobian.jl:106 [inlined]
 [16] __step!(cache::NonlinearSolve.GeneralizedFirstOrderAlgorithmCache{…}; recompute_jacobian::Nothing, kwargs::@Kwargs{})
    @ NonlinearSolve ~/.julia/packages/NonlinearSolve/5yLII/src/core/generalized_first_order.jl:207
 [17] __step!
    @ ~/.julia/packages/NonlinearSolve/5yLII/src/core/generalized_first_order.jl:203 [inlined]
 [18] #step!#210
    @ ~/.julia/packages/NonlinearSolve/5yLII/src/core/generic.jl:55 [inlined]
 [19] step!
    @ ~/.julia/packages/NonlinearSolve/5yLII/src/core/generic.jl:50 [inlined]
 [20] solve!(cache::NonlinearSolve.GeneralizedFirstOrderAlgorithmCache{…})
    @ NonlinearSolve ~/.julia/packages/NonlinearSolve/5yLII/src/core/generic.jl:13
 [21] __solve(::NonlinearProblem{…}, ::GeneralizedFirstOrderAlgorithm{…}; kwargs::@Kwargs{…})
    @ NonlinearSolve ~/.julia/packages/NonlinearSolve/5yLII/src/core/generic.jl:4
 [22] __solve
    @ ~/.julia/packages/NonlinearSolve/5yLII/src/core/generic.jl:1 [inlined]
 [23] macro expansion
    @ ~/.julia/packages/NonlinearSolve/5yLII/src/default.jl:278 [inlined]
 [24] __solve(::NonlinearProblem{…}, ::NonlinearSolvePolyAlgorithm{…}; alias_u0::Bool, verbose::Bool, kwargs::@Kwargs{…})
    @ NonlinearSolve ~/.julia/packages/NonlinearSolve/5yLII/src/default.jl:248
 [25] __solve
    @ ~/.julia/packages/NonlinearSolve/5yLII/src/default.jl:248 [inlined]
 [26] #__solve#329
    @ ~/.julia/packages/NonlinearSolve/5yLII/src/default.jl:511 [inlined]
 [27] __solve
    @ ~/.julia/packages/NonlinearSolve/5yLII/src/default.jl:508 [inlined]
 [28] #__solve#61
    @ ~/.julia/packages/DiffEqBase/nc5nE/src/solve.jl:1371 [inlined]
 [29] __solve
    @ ~/.julia/packages/DiffEqBase/nc5nE/src/solve.jl:1364 [inlined]
 [30] #solve_call#34
    @ ~/.julia/packages/DiffEqBase/nc5nE/src/solve.jl:609 [inlined]
 [31] solve_call
    @ ~/.julia/packages/DiffEqBase/nc5nE/src/solve.jl:567 [inlined]
 [32] #solve_up#42
    @ ~/.julia/packages/DiffEqBase/nc5nE/src/solve.jl:1050 [inlined]
 [33] solve_up
    @ ~/.julia/packages/DiffEqBase/nc5nE/src/solve.jl:1044 [inlined]
 [34] #solve#41
    @ ~/.julia/packages/DiffEqBase/nc5nE/src/solve.jl:1038 [inlined]
 [35] solve(::NonlinearProblem{…})
    @ DiffEqBase ~/.julia/packages/DiffEqBase/nc5nE/src/solve.jl:1028
 [36] top-level scope
    @ Untitled-1:14
Some type information was truncated. Use `show(err)` to see complete types.
```

**Environment (please complete the following information):**

  - Output of `using Pkg; Pkg.status()`

```julia
[667455a9] Cubature v1.5.1
  [31c24e10] Distributions v0.25.107
  [d4d017d3] ExponentialUtilities v1.26.1
  [f6369f11] ForwardDiff v0.10.36
⌃ [de52edbc] Integrals v4.3.0
⌃ [8913a72c] NonlinearSolve v3.8.3
⌃ [1dea7af3] OrdinaryDiffEq v6.70.1
⌃ [91a5bcdd] Plots v1.40.1
  [44d3d7a6] Weave v0.10.12
```

  - Output of `using Pkg; Pkg.status(; mode = PKGMODE_MANIFEST)`

```julia
⌃ [47edcb42] ADTypes v0.2.6
⌃ [7d9f7c33] Accessors v0.1.35
⌃ [79e6a3ab] Adapt v4.0.1
⌅ [ec485272] ArnoldiMethod v0.2.0
⌃ [4fba245c] ArrayInterface v7.7.0
⌃ [4c555306] ArrayLayouts v1.6.0
  [d1d4a3ce] BitFlags v0.1.8
  [62783981] BitTwiddlingConvenienceFunctions v0.1.5
  [2a0fbf3d] CPUSummary v0.2.4
  [49dc2e85] Calculus v0.5.1
  [fb6a15b2] CloseOpenIntervals v0.1.12
  [944b1d66] CodecZlib v0.7.4
  [35d6a980] ColorSchemes v3.24.0
  [3da002f7] ColorTypes v0.11.4
  [c3611d14] ColorVectorSpace v0.10.0
  [5ae59095] Colors v0.12.10
  [861a8166] Combinatorics v1.0.2
  [38540f10] CommonSolve v0.2.4
  [bbf7d656] CommonSubexpressions v0.3.0
⌃ [34da2185] Compat v4.12.0
  [a33af91c] CompositionsBase v0.1.2
  [2569d6c7] ConcreteStructs v0.2.3
⌃ [f0e56b4a] ConcurrentUtilities v2.3.1
⌃ [187b0558] ConstructionBase v1.5.4
  [d38c429a] Contour v0.6.2
  [adafc99b] CpuId v0.3.1
  [667455a9] Cubature v1.5.1
  [9a962f9c] DataAPI v1.16.0
⌃ [864edb3b] DataStructures v0.18.16
  [e2d170a0] DataValueInterfaces v1.0.0
  [8bb1440f] DelimitedFiles v1.9.1
⌃ [2b5f629d] DiffEqBase v6.146.2
  [163ba53b] DiffResults v1.1.0
  [b552c78f] DiffRules v1.15.1
  [31c24e10] Distributions v0.25.107
  [ffbed154] DocStringExtensions v0.9.3
  [fa6b7ba4] DualNumbers v0.6.8
  [4e289a0a] EnumX v1.0.4
⌅ [f151be2c] EnzymeCore v0.6.5
  [460bff9d] ExceptionUnwrapping v0.1.10
  [d4d017d3] ExponentialUtilities v1.26.1
  [e2ba6199] ExprTools v0.1.10
  [c87230d0] FFMPEG v0.4.1
  [7034ab61] FastBroadcast v0.2.8
  [9aa1b823] FastClosures v0.3.2
⌃ [29a986be] FastLapackInterface v2.0.1
  [1a297f60] FillArrays v1.9.3
⌃ [6a86dc24] FiniteDiff v2.22.0
  [53c48c17] FixedPointNumbers v0.8.4
⌃ [59287772] Formatting v0.4.2
  [f6369f11] ForwardDiff v0.10.36
  [069b7b12] FunctionWrappers v1.1.3
  [77dc65aa] FunctionWrappersWrappers v0.1.3
  [46192b85] GPUArraysCore v0.1.6
⌃ [28b8d3ca] GR v0.73.2
⌃ [c145ed77] GenericSchur v0.5.3
  [86223c79] Graphs v1.9.0
  [42e2da0e] Grisu v1.0.2
⌃ [19dc6840] HCubature v1.5.2
⌃ [cd3eb016] HTTP v1.10.1
  [eafb193a] Highlights v0.5.2
  [3e5b6fbb] HostCPUFeatures v0.1.16
  [34004b35] HypergeometricFunctions v0.3.23
  [615f187c] IfElse v0.1.1
  [d25df0c9] Inflate v0.1.4
  [18e54dd8] IntegerMathUtils v0.1.2
⌃ [de52edbc] Integrals v4.3.0
⌃ [3587e190] InverseFunctions v0.1.12
  [92d709cd] IrrationalConstants v0.2.2
  [82899510] IteratorInterfaceExtensions v1.0.0
  [1019f520] JLFzf v0.1.7
  [692b3bcd] JLLWrappers v1.5.0
  [682c06a0] JSON v0.21.4
⌅ [ef3ab10e] KLU v0.5.0
  [ba0b0d4f] Krylov v0.9.5
  [b964fa9f] LaTeXStrings v1.3.1
⌃ [23fbe1c1] Latexify v0.16.1
  [73f95e8e] LatticeRules v0.0.1
  [10f19ff3] LayoutPointers v0.1.15
  [50d2b5c4] Lazy v0.15.1
  [5078a376] LazyArrays v1.8.3
  [d3d80556] LineSearches v7.2.0
⌃ [7ed4a6bd] LinearSolve v2.23.2
⌃ [2ab3a3ac] LogExpFunctions v0.3.26
  [e6f89c97] LoggingExtras v1.0.3
⌃ [bdcacae8] LoopVectorization v0.12.166
  [1914dd2f] MacroTools v0.5.13
  [d125e4d3] ManualMemory v0.1.8
  [a3b82374] MatrixFactorizations v2.1.0
⌃ [bb5d69b7] MaybeInplace v0.1.1
  [739be429] MbedTLS v1.1.9
  [442fdcdd] Measures v0.3.2
  [e1d29d7a] Missings v1.1.0
  [4886b29c] MonteCarloIntegration v0.2.0
  [46d2c3a1] MuladdMacro v0.2.4
  [ffc61752] Mustache v1.0.19
  [d41bc354] NLSolversBase v7.8.3
  [77ba4419] NaNMath v1.0.2
⌃ [8913a72c] NonlinearSolve v3.8.3
  [6fe1bfb0] OffsetArrays v1.13.0
⌃ [4d8831e6] OpenSSL v1.4.1
  [bac558e1] OrderedCollections v1.6.3
⌃ [1dea7af3] OrdinaryDiffEq v6.70.1
  [90014a1f] PDMats v0.11.31
  [65ce6f38] PackageExtensionCompat v1.0.2
  [d96e819e] Parameters v0.12.3
  [69de0a69] Parsers v2.8.1
  [b98c9c47] Pipe v1.3.0
  [ccf2f8ad] PlotThemes v3.1.0
⌃ [995b91a9] PlotUtils v1.4.0
⌃ [91a5bcdd] Plots v1.40.1
⌃ [f517fe37] Polyester v0.7.9
  [1d0040c9] PolyesterWeave v0.2.1
  [d236fae5] PreallocationTools v0.4.20
⌃ [aea7be01] PrecompileTools v1.2.0
⌃ [21216c6a] Preferences v1.4.1
⌃ [27ebfcd6] Primes v0.5.5
  [1fd47b50] QuadGK v2.9.4
  [8a4e6c94] QuasiMonteCarlo v0.3.3
  [3cdcf5f2] RecipesBase v1.3.4
  [01d81517] RecipesPipeline v0.6.12
⌃ [731186ca] RecursiveArrayTools v3.8.0
  [f2c3362d] RecursiveFactorization v0.2.21
  [189a3867] Reexport v1.2.2
  [05181044] RelocatableFolders v1.0.1
  [ae029012] Requires v1.3.0
  [79098fc4] Rmath v0.7.1
  [7e49a35a] RuntimeGeneratedFunctions v0.5.12
  [94e857df] SIMDTypes v0.1.0
  [476501e8] SLEEFPirates v0.6.42
⌃ [0bca4576] SciMLBase v2.24.0
⌃ [c0aeaf25] SciMLOperators v0.3.7
  [6c6a2e73] Scratch v1.2.1
  [efcf1570] Setfield v1.1.1
  [992d4aef] Showoff v1.0.3
  [777ac1f9] SimpleBufferStream v1.1.0
⌃ [727e6d20] SimpleNonlinearSolve v1.4.1
  [699a6c99] SimpleTraits v0.9.4
  [ce78b400] SimpleUnPack v1.1.0
  [ed01d8cd] Sobol v1.5.0
  [a2af1166] SortingAlgorithms v1.2.1
⌃ [47a9eef4] SparseDiffTools v2.16.0
  [e56a9233] Sparspak v0.3.9
  [276daf66] SpecialFunctions v2.3.1
  [aedffcd0] Static v0.8.10
  [0d7ed370] StaticArrayInterface v1.5.0
⌃ [90137ffa] StaticArrays v1.9.2
  [1e83bf80] StaticArraysCore v1.4.2
  [82ae8749] StatsAPI v1.7.0
  [2913bbd2] StatsBase v0.34.2
⌃ [4c63d2b9] StatsFuns v1.3.0
  [7792a7ef] StrideArraysCore v0.5.2
  [69024149] StringEncodings v0.3.7
⌃ [2efcf032] SymbolicIndexingInterface v0.3.5
  [3783bdb8] TableTraits v1.0.1
  [bd369af6] Tables v1.11.1
  [62fd8b95] TensorCore v0.1.1
  [8290d209] ThreadingUtilities v0.5.2
  [a759f4b9] TimerOutputs v0.5.23
⌃ [3bb67fe8] TranscodingStreams v0.10.3
⌃ [d5829a12] TriangularSolve v0.1.20
  [410a4b4d] Tricks v0.1.8
  [781d530d] TruncatedStacktraces v1.4.0
  [5c2747f8] URIs v1.5.1
  [3a884ed6] UnPack v1.0.2
  [1cfade01] UnicodeFun v0.4.1
  [1986cc42] Unitful v1.19.0
  [45397f5d] UnitfulLatexify v1.6.3
  [41fe7b60] Unzip v0.2.0
  [3d5dd08c] VectorizationBase v0.21.65
  [19fa3120] VertexSafeGraphs v0.2.0
  [44d3d7a6] Weave v0.10.12
  [ddb6d928] YAML v0.4.9
  [6e34b625] Bzip2_jll v1.0.8+1
⌃ [83423d85] Cairo_jll v1.16.1+1
  [7bc98958] Cubature_jll v1.0.5+0
  [2702e6a9] EpollShim_jll v0.0.20230411+0
  [2e619515] Expat_jll v2.5.0+0
⌅ [b22a6f82] FFMPEG_jll v4.4.4+1
  [a3f928ae] Fontconfig_jll v2.13.93+0
  [d7e528f0] FreeType2_jll v2.13.1+0
  [559328eb] FriBidi_jll v1.0.10+0
  [0656b61e] GLFW_jll v3.3.9+0
⌅ [d2c73de3] GR_jll v0.73.2+0
  [78b55507] Gettext_jll v0.21.0+0
⌃ [7746bdde] Glib_jll v2.76.5+0
  [3b182d85] Graphite2_jll v1.3.14+0
  [2e76f6c2] HarfBuzz_jll v2.8.1+1
  [1d5cc7b8] IntelOpenMP_jll v2024.0.2+0
⌃ [aacddb02] JpegTurbo_jll v3.0.1+0
  [c1c5ebd0] LAME_jll v3.100.1+0
  [88015f11] LERC_jll v3.0.0+1
  [1d63c593] LLVMOpenMP_jll v15.0.7+0
  [dd4b983a] LZO_jll v2.10.1+0
⌅ [e9f186c6] Libffi_jll v3.2.2+1
  [d4300ac3] Libgcrypt_jll v1.8.7+0
  [7e76a0d4] Libglvnd_jll v1.6.0+0
  [7add5ba3] Libgpg_error_jll v1.42.0+0
  [94ce4f54] Libiconv_jll v1.17.0+0
⌃ [4b2f31a3] Libmount_jll v2.35.0+0
⌅ [89763e89] Libtiff_jll v4.5.1+1
⌃ [38a345b3] Libuuid_jll v2.36.0+0
  [856f044c] MKL_jll v2024.0.0+0
  [e7412a2a] Ogg_jll v1.3.5+1
⌃ [458c3c95] OpenSSL_jll v3.0.13+0
  [efe28fd5] OpenSpecFun_jll v0.5.5+0
  [91d4177d] Opus_jll v1.3.2+0
  [30392449] Pixman_jll v0.42.2+0
  [c0090381] Qt6Base_jll v6.5.3+1
  [f50d1b31] Rmath_jll v0.4.0+0
  [a44049a8] Vulkan_Loader_jll v1.3.243+0
  [a2964d1f] Wayland_jll v1.21.0+1
  [2381bf8a] Wayland_protocols_jll v1.31.0+0
⌃ [02c8fc9c] XML2_jll v2.12.2+0
  [aed1982a] XSLT_jll v1.1.34+0
⌃ [ffd25f8a] XZ_jll v5.4.5+0
  [f67eecfb] Xorg_libICE_jll v1.0.10+1
  [c834827a] Xorg_libSM_jll v1.2.3+0
  [4f6342f7] Xorg_libX11_jll v1.8.6+0
  [0c0b7dd1] Xorg_libXau_jll v1.0.11+0
  [935fb764] Xorg_libXcursor_jll v1.2.0+4
  [a3789734] Xorg_libXdmcp_jll v1.1.4+0
  [1082639a] Xorg_libXext_jll v1.3.4+4
  [d091e8ba] Xorg_libXfixes_jll v5.0.3+4
  [a51aa0fd] Xorg_libXi_jll v1.7.10+4
  [d1454406] Xorg_libXinerama_jll v1.1.4+4
  [ec84b674] Xorg_libXrandr_jll v1.5.2+4
  [ea2f1a96] Xorg_libXrender_jll v0.9.10+4
  [14d82f49] Xorg_libpthread_stubs_jll v0.1.1+0
  [c7cfdc94] Xorg_libxcb_jll v1.15.0+0
  [cc61e674] Xorg_libxkbfile_jll v1.1.2+0
  [e920d4aa] Xorg_xcb_util_cursor_jll v0.1.4+0
  [12413925] Xorg_xcb_util_image_jll v0.4.0+1
  [2def613f] Xorg_xcb_util_jll v0.4.0+1
  [975044d2] Xorg_xcb_util_keysyms_jll v0.4.0+1
  [0d47668e] Xorg_xcb_util_renderutil_jll v0.3.9+1
  [c22f9ab0] Xorg_xcb_util_wm_jll v0.4.1+1
  [35661453] Xorg_xkbcomp_jll v1.4.6+0
  [33bec58e] Xorg_xkeyboard_config_jll v2.39.0+0
  [c5fb5394] Xorg_xtrans_jll v1.5.0+0
⌃ [3161d3a3] Zstd_jll v1.5.5+0
  [35ca27e7] eudev_jll v3.2.9+0
  [214eeab7] fzf_jll v0.43.0+0
  [1a1c6b14] gperf_jll v3.1.1+0
  [a4ae2306] libaom_jll v3.4.0+0
  [0ac62f75] libass_jll v0.15.1+0
  [2db6ffa8] libevdev_jll v1.11.0+0
  [f638f0a6] libfdk_aac_jll v2.0.2+0
  [36db933b] libinput_jll v1.18.0+0
⌃ [b53b4c65] libpng_jll v1.6.40+0
  [f27f6e37] libvorbis_jll v1.3.7+1
  [009596ad] mtdev_jll v1.1.6+0
  [1270edf5] x264_jll v2021.5.5+0
  [dfaa095f] x265_jll v3.5.0+0
  [d8fb68d0] xkbcommon_jll v1.4.1+1
  [0dad84c5] ArgTools v1.1.1
  [56f22d72] Artifacts
  [2a0f44e3] Base64
  [ade2ca70] Dates
  [8ba89e20] Distributed
  [f43a241f] Downloads v1.6.0
  [7b1f6079] FileWatching
  [9fa8497b] Future
  [b77e0a4c] InteractiveUtils
  [4af54fe1] LazyArtifacts
  [b27032c2] LibCURL v0.6.4
  [76f85450] LibGit2
  [8f399da3] Libdl
  [37e2e46d] LinearAlgebra
  [56ddb016] Logging
  [d6f4376e] Markdown
  [a63ad114] Mmap
  [ca575930] NetworkOptions v1.2.0
  [44cfe95a] Pkg v1.10.0
  [de0858da] Printf
  [3fa0cd96] REPL
  [9a3f8284] Random
  [ea8e919c] SHA v0.7.0
  [9e88b42a] Serialization
  [1a1011a3] SharedArrays
  [6462fe0b] Sockets
  [2f01184e] SparseArrays v1.10.0
  [10745b16] Statistics v1.10.0
  [4607b0f0] SuiteSparse
  [fa267f1f] TOML v1.0.3
  [a4e569a6] Tar v1.10.0
  [8dfed614] Test
  [cf7118a7] UUIDs
  [4ec0a83e] Unicode
  [e66e0078] CompilerSupportLibraries_jll v1.1.0+0
  [deac9b47] LibCURL_jll v8.4.0+0
  [e37daf67] LibGit2_jll v1.6.4+0
  [29816b5a] LibSSH2_jll v1.11.0+1
  [c8ffd9c3] MbedTLS_jll v2.28.2+1
  [14a3606d] MozillaCACerts_jll v2023.1.10
  [4536629a] OpenBLAS_jll v0.3.23+4
  [05823500] OpenLibm_jll v0.8.1+2
  [efcefdf7] PCRE2_jll v10.42.0+1
  [bea87d4a] SuiteSparse_jll v7.2.1+1
  [83775a58] Zlib_jll v1.2.13+1
  [8e850b90] libblastrampoline_jll v5.8.0+1
  [8e850ede] nghttp2_jll v1.52.0+1
  [3f19e933] p7zip_jll v17.4.0+2
Info Packages marked with ⌃ and ⌅ have new versions available. Those with ⌃ may be upgradable, but those with ⌅ are restricted by compatibility constraints from upgrading. To see why use `status --outdated -m`
```

  - Output of `versioninfo()`

```julia
Julia Version 1.10.2
Commit bd47eca2c8a (2024-03-01 10:14 UTC)
Build Info:
  Official https://julialang.org/ release
Platform Info:
  OS: macOS (x86_64-apple-darwin22.4.0)
  CPU: 8 × Intel(R) Core(TM) i5-8279U CPU @ 2.40GHz
  WORD_SIZE: 64
  LIBM: libopenlibm
  LLVM: libLLVM-15.0.7 (ORCJIT, skylake)
Threads: 8 default, 0 interactive, 4 GC (on 8 virtual cores)
Environment:
  JULIA_EDITOR = code
```

**Additional context**

[Add any other context about the problem here.](https://discourse.julialang.org/t/how-can-i-use-nonlinearsolve-jl-with-matrix-functions/112379)


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expv does not work when used in NonlinearSolve.jl equations #173

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expv does not work when used in NonlinearSolve.jl equations #173

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