Dear Simon,

Thanks for your answer.

What I want is for a linear combination X(t):=p(t)*y1(t) + q(t)*y2(t)
(p and q are known functions) to construct a new
second-order differential equation for X(t) from the orgininal
system.  For a second-order system this can easily be done by hand.
I have, however, a fourth-order system.
I have written a Maple-program to perform this task for the fourth-
order system.
I wonder if this can be done with Sage.

Regards,
Pieter


On Nov 27, 5:29 pm, Simon King <[EMAIL PROTECTED]> wrote:
> Dear David,
>
> On Nov 27, 5:16 pm, "David Joyner" <[EMAIL PROTECTED]> wrote:
>
> > Do you mean something like in the 
> > tutorialhttp://www.sagemath.org/doc/tut/node14.html
> > or do you want something different?
>
> Looking at the original post, probably Pieter wants to manipulate y1
> (t), y2(t) without to solve the system of equations, since this is
> possible with Maple, to some extent:
>
> > > In Maple it is possible to manipulate with y1(t) and y2(t) without
> > > solving the system of equations.
>
> > > Does there exist a Sage-construct equivalent to the Maple-construct
> > > given above?
>
> So, I guess it is different fromhttp://www.sagemath.org/doc/tut/node14.html
>
> Cheers,
>      Simon
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