Hello everyone, I have the following differential equation :(adsbygoogle = window.adsbygoogle || []).push({});

[tex]\dot{\theta}(t) = \omega(t) - \frac{1}{2}\theta(t)\times\omega(t) + \frac{1}{\Vert\theta(t)\Vert^2}\left(1-\frac{\Vert\theta(t)\Vert}{2}cot\frac{\Vert\theta(t)\Vert}{2}\right)\theta(t)\times[\theta(t)\times\omega(t)][/tex]

where [tex]\omega(t)[/tex] is a known 3D vector with the form :

[tex]\omega(t) = [a_1+b_1*t , a_2+b_2*t , a_3+b_3*t ][/tex]

also, [tex]\theta(t)[/tex] is the unknown 3D vector that we need to find. Its norm is [tex]\Vert\theta(t)\Vert[/tex].

This type of math is too high for me. If you guys know a way to solve it for [tex]\theta(t)[/tex] with Maple, Mathlab or Scilab, I'd be happy, because anyone of those seems to explain how to solve an equation that contains vectors. I think a solver would be more appropriate because the equation is quite "big", if you know what I mean.

Thanks.

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# Differential Equation with Vectors

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