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) |