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Math Help - Integral Curves

  1. #1
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    Integral Curves

    Find the integral curves of the following vector field: V=(\log(y+z),1,-1).

    I don't even know how to start.....
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  2. #2
    MHF Contributor FernandoRevilla's Avatar
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    Quote Originally Posted by mathematicalbagpiper View Post
    I don't even know how to start.....
    By definition of integral curve, you have to find the family of curves:

    \gamma (t)=(x(t),y(t),z(t))

    such that

    \gamma'(t)=V(\gamma (t)) .


    Fernando Revilla
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  3. #3
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    And to do that you do what?
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  4. #4
    MHF Contributor FernandoRevilla's Avatar
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    Quote Originally Posted by mathematicalbagpiper View Post
    And to do that you do what?

    Solve the system:


    \begin{Bmatrix}x'=\log (y+z)\\y'=1\\z'=-1\end{matrix}


    Fernando Revilla
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