Linearization

[dallan-keylogic]

Depends on #1824.

Summary/Motivation:

Changes proposed in this PR:

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[codecov]

Codecov Report

❌ Patch coverage is 96.00000% with 23 lines in your changes missing coverage. Please review.
✅ Project coverage is 77.72%. Comparing base (a60fbf8) to head (890db80).

Files with missing lines	Patch %	Lines
idaes/core/util/dynamics/linear_time_invariant.py	95.74%	6 Missing and 6 partials ⚠️
idaes/core/solvers/petsc_object.py	96.23%	4 Missing and 7 partials ⚠️

Additional details and impacted files

@@            Coverage Diff             @@
##             main    #1830      +/-   ##
==========================================
+ Coverage   77.57%   77.72%   +0.14%     
==========================================
  Files         423      426       +3     
  Lines       67529    68104     +575     
  Branches    11420    11559     +139     
==========================================
+ Hits        52387    52932     +545     
- Misses      12527    12541      +14     
- Partials     2615     2631      +16     

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