.. highlightlang:: us

.. index:: ode

.. _ode:

ode
===

.. us.tag  ode ENGLISH math-misc

:ref:`ode` computes the solution of ordinary differential equation of the first
order.

.. function::  rvX = ode(f, x_0, t_out)

.. us.return

**Return Value**

*rvX* is the solution vector.

.. us.params

**Parameters**

.. uparam:: f

   *f* is a function provided by the user (see example).

.. uparam:: x_0

   *x_0* is a column vector with the start conditions.

.. uparam:: t_out

   *t_out* is a vector with data points for which
   the solution of the differential equation is computed.

.. us.example

**Example**

::

   def y_dot (y, t)
   {
       return sin(t) .* sin(t) - 3 * y;
   }
   y = ode(y_dot, 0, t = linspace(0,3,30)');
   plot(t, y)

.. seealso::
   :ref:`overview-mathematic`,
   :ref:`solve`

:sub:`id-1565148`