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Math Help - Phase trajectory.

  1. #1
    Senior Member
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    Phase trajectory.

    du/dt = uv dv/dt = u
    find general solution to du/dv
    find phase trajectory of (u,v) passing through (1,0) when t=0
    find v(t) on this phase trajectory

    thanks for any help
    Last edited by mr fantastic; April 23rd 2010 at 03:21 PM. Reason: Re-titled post.
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  2. #2
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    Quote Originally Posted by hmmmm View Post
    du/dt = uv dv/dt = u
    find general solution to du/dv
    find phase trajectory of (u,v) passing through (1,0) when t=0
    find v(t) on this phase trajectory

    thanks for any help
    \frac{du}{dt}=uv. \frac{dv}{dt}=u

    Now, simply use \frac{du}{dv}=\frac{\frac{du}{dt}}{\frac{dv}{dt}} to obtain dv/dt.

    If you need more help let me know.
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  3. #3
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    thanks, i think i've got the first three parts but im not too sure what its asking when it asks find v(t) on this phase trajectory, thanks for the help
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