Re: Looking for a differential equation closed form

These links might be helpful...

http://math.fullerton.edu/mathews/n2003/ProjectileMotionMod.html

http://www.grc.nasa.gov/WWW/K-12/airplane/flteqs.html

On Wed, Mar 10, 2010 at 1:05 PM, Jon Valdés <[email protected]> wrote:

> My math is just as rusty as yours, so I can't help much here, but
> maybe this can help you find your solution:
> http://www.wolframalpha.com/examples/Integrals.html
>
> Good luck ;-)
>
> On Wed, Mar 10, 2010 at 5:49 PM, Jon Watte <[email protected]> wrote:
> > I'm looking for a closed form solution for a differential equation. I did
> > pass this stuff 20 years ago, but was more interested in graph theory,
> > discrete math and DSP, so it's all vanished from my brain :-)
> > The equation is given a point mass that leaves a start position with a
> start
> > velocity. On this point mass is acting a fixed gravitational force (in a
> > fixed direction), as well as a linear and quadratic motion-opposed force
> > (air drag) based on a linear and quadratic coefficient of air drag. So
> far,
> > it's pretty much your standard "cannonball" equation (although I'd really
> > appreciate a convenient reference for this solution, too). However, in
> this
> > case, I also want to make the drag coefficients a linear function of time
> --
> > drag(linear, quadratic) = const(linear, quadratic) + factor(linear,
> > quadratic) * time.
> > If someone could plug this into Mathematica (or look it up in a handy
> > formula reference), I'd really appreciate it. If someone could take the
> time
> > to point at the proper online reference, that'd be wonderful, too!
> > Sincerely,
> > jw
> >
> > --
> > Americans might object: there is no way we would sacrifice our living
> > standards for the benefit of people in the rest of the world.
> Nevertheless,
> > whether we get there willingly or not, we shall soon have lower
> consumption
> > rates, because our present rates are unsustainable.
> >
> >
> >
> ------------------------------------------------------------------------------
> > Download Intel&#174; Parallel Studio Eval
> > Try the new software tools for yourself. Speed compiling, find bugs
> > proactively, and fine-tune applications for parallel performance.
> > See why Intel Parallel Studio got high marks during beta.
> > http://p.sf.net/sfu/intel-sw-dev
> > _______________________________________________
> > GDAlgorithms-list mailing list
> > [email protected]
> > https://lists.sourceforge.net/lists/listinfo/gdalgorithms-list
> > Archives:
> >
> http://sourceforge.net/mailarchive/forum.php?forum_name=gdalgorithms-list
> >
>
>
> ------------------------------------------------------------------------------
> Download Intel&#174; Parallel Studio Eval
> Try the new software tools for yourself. Speed compiling, find bugs
> proactively, and fine-tune applications for parallel performance.
> See why Intel Parallel Studio got high marks during beta.
> http://p.sf.net/sfu/intel-sw-dev
> _______________________________________________
> GDAlgorithms-list mailing list
> [email protected]
> https://lists.sourceforge.net/lists/listinfo/gdalgorithms-list
> Archives:
> http://sourceforge.net/mailarchive/forum.php?forum_name=gdalgorithms-list
>



-- 
Raymond "VisualPhoenix" Barbiero
Programmer
EA Montreal

------------------------------------------------------------------------------
Download Intel&#174; Parallel Studio Eval
Try the new software tools for yourself. Speed compiling, find bugs
proactively, and fine-tune applications for parallel performance.
See why Intel Parallel Studio got high marks during beta.
http://p.sf.net/sfu/intel-sw-dev

_______________________________________________
GDAlgorithms-list mailing list
[email protected]
https://lists.sourceforge.net/lists/listinfo/gdalgorithms-list
Archives:
http://sourceforge.net/mailarchive/forum.php?forum_name=gdalgorithms-list