Do you mean something like in the tutorial
http://www.sagemath.org/doc/tut/node14.html
or do you want something different?


On Thu, Nov 27, 2008 at 5:02 AM, pieter <[EMAIL PROTECTED]> wrote:
>
> Dear Sage users,
>
> Is it possible in Sage to define a function with the help of its
> derivative?
>
> Example:
>
> Given the system of linear differential equations
>
>           dy1(t)/dt = a(t)y1(t) + b(t)y2(t)
>           dy2(t)/dt = c(t)y1(t) + d(t)y2(t),
>
> where a, b, c, d are known functions of t.
>
> In Maple y1(t) and y2(t) can be defined as
>
>            > define(y1, diff(y1(t), t) = a(t) * y1(t) + b(t) * y2(t))
>            > define(y2, diff(y2(t), t) = c(t) * y1(t) + d(t) * y2(t))
>
> 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?
>
> Regards,
> Pieter
>
> >
>

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