MATLAB Mathematics - SERC - Index of

5 Differential Equations
The basic input arguments are
odefun
Handle to a function that evaluates the system of ODEs. The
function has the form
dydt = odefun(t,y)
where t is a scalar, and dydt and y are column vectors. See
“Function Handles” in the MATLAB Programming documentation
for more information.
tspan
y0
options
Vector specifying the interval of integration. The solver imposes
the initial conditions at tspan(1), and integrates from tspan(1) to
tspan(end).
Vector of initial conditions for the problem
See also “Introduction to Initial Value ODE Problems” on page 5-4.
Structure of optional parameters that change the default
integration properties.
“Changing ODE Integration Properties” on page 5-17 tells you how
to create the structure and describes the properties you can
specify.
The output arguments contain the solution approximated at discrete points:
t
y
Column vector of time points
Solution array. Each row in y corresponds to the solution at a time
returned in the corresponding row of t.
See the reference page for the ODE solvers for more information about these
arguments.
Note See “Evaluating the Solution at Specific Points” on page 5-72 for more
information about solver syntax where a continuous solution is returned.
5-8