Symbolic solution of first and second order ODE'S

[lobe-disabled]

Hello,

I have been looking into using Mathcad to solve 1st and 2nd order ODE'S symbolically.

I know how to solve them numerically.

Is this at al possible in Mathcad.

I have spent some time looking but everything points to numeric solutions only.

Thanks

Laurence

[PhilipOakley]

Simple answer is "yes".

You should read through the sections on "live
symbolics" (rather than the dead/one-pass menu
symbolics). Live symbolics updates automatically as
new information is provided.

Hint 1. In particular look up the 'un-define' step
where you say x:=x
This recursion 'stops' the symbolic processor (from
using earlier numeric definitions) while the numeric
processor can still give you a numeric answer.

Hint 2. Finally, remember that the equations go red
if the numeric processor cannot calculate. The
symbolic processing can still work properly while
the equation is displayed red 😉

Philip Oakley

[mzeftel]

Take a look at the Calculus and Differential Equation QuickSheets. You'll see some examples of symbolic differential equation solving.

You also might be interested in the Mathcad 14 E-book,
Inside Mathcad: ODEs and DAEs in Mathcad posted in the online Mathcad Resource Center.

[lobe-disabled]

Thanks to all who replied. I grabbed the Quicksheet.

[ptc-1368288]

"I have been looking into using Mathcad to solve 1st and 2nd order ODE'S symbolically".
____________________________

The linear 1rst & 2nd order solvers have been designed and posted many times in this collab, but can't retrace at the moment. As long as the forcing function has a Laplace, then the two solvers works fine. For variables coefficients, you should refer to their formal solution. There is also the Frobenius solver in the collab.

jmG

[ptc-1368288]

On 12/28/2009 9:27:56 PM, lobe wrote:
>Hello,
>
>I have been looking into using
>Mathcad to solve 1st and 2nd
>order ODE'S symbolically.
>
>I know how to solve them
>numerically.
>
>Is this at al possible in
>Mathcad.
>
>I have spent some time looking
>but everything points to
>numeric solutions only.
>
>Thanks
>
>Laurence
________________________________

This is the quick sheet I have designed years ago.
If you have red in your version: incriminate MuPad !
Note q(t) was made a bit more complicated than usual.
Note the Odesolve inaccuracy .

jmG