Re: [Algorithms] Looking for a differential equation closed form

[Raymond B. <ray...@gm...>]

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 <ju...@gm...> 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 <jw...@gm...> 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
> >
> > --
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> >
> >
> >
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-- 
Raymond "VisualPhoenix" Barbiero
Programmer
EA Montreal