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Linear system in polar coordinates

  1. Dec 29, 2013 #1
    Hellow! I have searched for some theory about linear system in polar coordinates, unfortunately, I not found anything... exist some theory, some book, anything about this topic for study? Thanks!
     
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  3. Dec 29, 2013 #2

    Stephen Tashi

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    Give an example of what you mean by "linear system in polar coordinates". Are you talking about a set of simultaneous linear equations? - or a system of linear differential equations?
     
  4. Dec 29, 2013 #3
    I think in something like:
    [tex]\begin{bmatrix} a_{11} & a_{12}\\ a_{21} & a_{22}\\ \end{bmatrix} \begin{bmatrix} r\\ \theta\\ \end{bmatrix} = \begin{bmatrix} b_{1}\\ b_{2}\\ \end{bmatrix}[/tex]
    Where a_ij can be a simple coeficient or a polynomial of kind aD³+bD²+cD+d (where D is the derivative operator) and b_i a simple coeficient.

    But using [r θ] instead of use [x y].
     
  5. Dec 29, 2013 #4

    Stephen Tashi

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    In that equation, I don't understand what function D would operate upon? Do we have funtions [itex] r = r(t), \theta = \theta(t) [/itex] and [itex] D = \frac{d}{dt} [/itex] ?
     
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