The generic parameterized autonomous ODEs comprises systems of the first order differential equations wich can be written in the following form:

du

dt

= f(u,a),     u Î Rn,a Î R    f: Rn+1® Rn .
,

f is assumed to be suffiently smooth but has no other special properties (like symmetry, etc.). A system of ODEs is specified or edited in the System specification dialog box which is opened by the Select|System command from the Main window.

Example : For the scalar ODE

du

dt

= f(u,a)=a eu,     u Î R,a Î R    f: R2® R1 .

 

the following specification in the System specification dialog box would be valid:

Coordinates

u

Parameters

alpha

Time t
RHS u'=alpha*exp(u)