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

[Beau A. <alb...@cy...>]

Perhaps this might help?

http://www.scar.utoronto.ca/~pat/fun/NEWT3D/PDF/PRJCTILE.PDF

-Beau

On 3/10/10 10:49 AM, Jon Watte 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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