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Symbolic Solution to an ODE

laseruomo
1-Newbie

Symbolic Solution to an ODE

Can MCad 13 or 14 be used to get a symbolic solution to the ODE with constant coefficients

Ay'+By+C=0 ?

I have not found this addressed in the Tutorials. Thank you!

3 REPLIES 3

Short answer is no. Long is no, no, no.

Mathcad is a numerical engineer tool with some few symbolic abilities. You can use Odesolve or command line solvers like rkadapt to find numeric solutions, but for analytical expressions you must to write the solutions consulting books or doing the solution in a paper first.

In your case that meaning that you must to write

y(x) := -1/b*c+exp(-b/a*x)*(y0+1/b*c)/exp(-b/a*x0)

where y(x0)=y0 is the initial condition

Regards. Alvaro.

To receive the symbolical solution, here it is necessary to apply Laplace transformation. It can be made in any version, except Mathcad 14.0 (use MC14 m010, m020,...).
Viktor
Viktor

On 12/22/2009 10:56:32 PM, laseruomo wrote:
>Can MCad 13 or 14 be used to
>get a symbolic solution to the
>ODE with constant coefficients
>
> Ay'+By+C=0 ?
>
>I have not found this
>addressed in the Tutorials.
>Thank you!
>_____________________________

Certainly you can in Mathcad 11.2a,
the first approach is by the book and your version.

There maybe some interesting material in there:

http://collab.mathsoft.com/read?101591,23

jmG



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