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amoodarya

  • one year ago

can someone describe to me how kovacic's algorithm works?

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  1. amoodarya
    • one year ago
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    \[y'(x)+a(x)y^2(x)+b(x)y(x)+c(x)=0\] for this (above) kind of riccati DE equation ?

  2. anonymous
    • one year ago
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    Man, what are you doing.. This is still Mathematics??? I am finding it to be an English question.. :P

  3. amoodarya
    • one year ago
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    it is math question . I am working on a kind of riccaati diff equation (for preparing Cox-ingersol-Ross interest-rate boundary condition ) and it is necessary to solve it by kovacic (1985) algorithm

  4. anonymous
    • one year ago
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    That is quite a heavy name for me though.. I can help you in calling help.. :P

  5. anonymous
    • one year ago
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    @ganeshie8 @mukushla

  6. amoodarya
    • one year ago
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    I read kovacic's article ,but it has only for the y''=ry case and very complicated to me if you know some simple example in a book , or article ,... hint me thanks in advanced

  7. anonymous
    • one year ago
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    Really telling, I have heard of this equation for the first time in my Life.. Sorry, I am unable.. :(

  8. anonymous
    • one year ago
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    you transform this to a 2nd order linear ODE of the form \(y''+ay'+by=0\) using \(y=u'/u\), and then the 2nd order linear ODE can be turned into the form \(z''=rz\) using \(z=\exp(\int a\, dx)y\)

  9. amoodarya
    • one year ago
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    thank you but what about the first part of my question ? how kovacic's algorithm works?

  10. anonymous
    • one year ago
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    do you know anything about differential Galois theory?

  11. amoodarya
    • one year ago
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    little

  12. amoodarya
    • one year ago
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    I am looking for a example ,that show this work

  13. amoodarya
    • one year ago
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    I saw differential Galois theory in two article , and understand it but not make a sense to me I used to see example ,and study by solving problem

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