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Lagrange Charpit

  1. Aug 25, 2011 #1
    1. The problem statement, all variables and given/known data

    Use Charpits equations to solve 4u[itex]\frac{\partial u}{\partial x}[/itex] = [itex](\frac{\partial u}{\partial x})^2[/itex]

    where u=1 on the line x+2y=2

    2. Relevant equations

    3. The attempt at a solution
    from the charpit equations i get
    [itex]\frac{dx}{dt}[/itex] = 4u
    [itex]\frac{dy}{dt}[/itex] = -1
    [itex]\frac{du}{dt}[/itex] = 4pu-q
    [itex]\frac{dp}{dt} = -4p^2 [/itex]
    [itex]\frac{dq}{dt} = -4pq [/itex]

    next i have to parameterise the inital conditions
    the line x+2y=2

    whats the next step?
  2. jcsd
  3. Aug 26, 2011 #2
    du/dt should be -q^2
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