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For example: sol = First@ NDSolve[{Θ'[t] == 2 Θ[t] + .1, ϕ'[t] == 1, ϕ[0] == 0, Θ[0] == .1}, {Θ, ϕ}, {t, 0, 1}] f[t_] := {Cos[ϕ[t]] Sin[Θ[t]], Sin[ϕ[t]] Sin[Θ[t]], -Cos[Θ[t]]} Manipulate[Show[ ParametricPlot3D[f[t] /. sol, {t, 0, 1}, PlotStyle -> Transparent], ParametricPlot3D[f[t] /. sol, {t, 0, T}, PlotStyle -> {Thick, ...


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Since this has gone unanswered for so long and I can add one clarification to the comments under the question, I'll fill out an answer. In the comments, it has been observed that the following work (with the appropriate definition of customControl): {{x, 0}, customControl[#1, y] &} {{x, 0}, customControl[Dynamic[x]] &} {{x, 0}, ...



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