API Reference
=============

This section provides detailed documentation for all Odecast functions and classes.

Core Functions
--------------

.. automodule:: odecast.api
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Variables and Equations
-----------------------

.. autofunction:: odecast.var

.. autofunction:: odecast.Eq

.. autodata:: odecast.t

Solving Functions
-----------------

.. autofunction:: odecast.solve

Solution Classes
----------------

.. autoclass:: odecast.solution.Solution
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Validation and Errors
---------------------

.. automodule:: odecast.errors
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Internal Modules
----------------

The following modules are primarily for internal use but may be useful for 
advanced users or contributors.

Equation Analysis
~~~~~~~~~~~~~~~~~

.. automodule:: odecast.analyze
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Compilation
~~~~~~~~~~~

.. automodule:: odecast.compile
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Order Reduction
~~~~~~~~~~~~~~~

.. automodule:: odecast.reduce
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Validation
~~~~~~~~~~

.. automodule:: odecast.validate
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Backend Implementations
~~~~~~~~~~~~~~~~~~~~~~~

.. automodule:: odecast.backends.scipy_ivp
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.. automodule:: odecast.backends.scipy_bvp
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.. automodule:: odecast.backends.sympy_backend
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