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

[Jon V. <ju...@gm...>]

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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