A gorgeous piece of work from Smath built-in solver.

Enjoy, Jean

ODE HIRES.sm (48 KiB) downloaded 123 time(s).

Thank you Jean for this example,

You can also try the solvers from Matlab C++ Math Library and from ODE Solvers plugins (stiff solvers) as well.

Regards,
Radovan

I'm with you Radovan,

HIRES solves equally well from both solvers libraries [dn_ & mwode]

Example 2 [from Yuk]: NONE solve except Smath built-in rkfixed,
at a very specific number of points which is different than Mathcad.

Example 3 [from Valery] solves ONLY Matlab "mwode..."

All that is documented in the attached. All that said, you may wonder
how it works in real life. From educated practice, the Chemist can
pose the solver frame work ... from there and experimental results,
some solvers will optimise the "Frame work model" [typical of medical].
On that optimise option, Mathcad 11 is fully capable. Several examples
were exchanged in the Mathsoft collaboratory.

I will be back on that... cheers, Jean

ODE HIRES.sm (79 KiB) downloaded 63 time(s).

Jean, you can use RelTol and AbsTol constants with the solvers.

EDIT:

Wrote

NONE solve except Smath built-in rkfixed

All ode solvers realized as external functions. They are located in the plugins. rkfixed too (ODE Solvers plugin). So, there are no any built-in ode solvers.