Tests blocked by MethodOfLines incompatibility with ModelingToolkit 11

[ChrisRackauckas-Claude]

Summary

PR #1004 attempts to update dependencies to:

• ModelingToolkit 11.x
• Symbolics 7.x
• SymbolicUtils 4.x

However, tests cannot run with these new versions because MethodOfLines (a test dependency) only supports ModelingToolkit 10.x.

Details

When Pkg.test() runs, the package resolver is forced to downgrade:

• ModelingToolkit 11.x → 10.31.2
• Symbolics 7.x → 6.58.0
• SymbolicUtils 4.x → 3.32.0

This happens because MethodOfLines 0.11.9 has compat:

ModelingToolkit = "10.1.0-10"

What Works

NeuralPDE does load and work correctly with the new dependency versions when tested without MethodOfLines:

using NeuralPDE
using ModelingToolkit  # v11.5.1
using Symbolics        # v7.5.0
using SymbolicUtils    # v4.10.1
# All packages load successfully

Affected Tests

Only the DGM tests use MethodOfLines:

• test/dgm_tests.jl

Solutions

1. Wait for MethodOfLines update: MethodOfLines needs to release a version compatible with MTK 11
2. Conditional test skipping: Modify tests to skip DGM tests when MTK 11+ is installed
3. Remove MethodOfLines from test dependencies: If DGM tests can be restructured

Additional Issue

There's also a precompilation error with LuxCore's FluxExt extension (@layer macro issue), but this appears to be a pre-existing issue unrelated to this dependency update.

Related PR

• build(deps): bump the all-julia-packages group across 2 directories with 3 updates #1004 - Dependency update PR

cc @ChrisRackauckas

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