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Approximate a nonlinear DE for use in 3D graph

Posted on 2008-12-01 21:59 By awetawef (2)
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I need to plot [cos(v)*x(t), sin(v)*x(t), v] where x(t) is the solution to

diff(x(t),t)=sqrt(1/(-x(t)^2+1)-1)

I can use DEplot to show me an approximation of x(t), which is what I want, but I need to graph the afformentioned 3d plot. I am not having success with DEPlot3D, because I can't figure out how to plot it with the cosine and sine functions shown above. I would appreciate any help.

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sorry; did some research and

Comment on 2008-12-01 22:32 from awetawef (2)

sorry; did some research and found my answer:

sol1 := dsolve([diff(x(t), t) = (1/(-x(t)^2+1)-1)^(1/2), x(0) = .5], numeric, output = operator, range = 0 .. .5)

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