1. Limited time only! Sign up for a free 30min personal tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

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
    x=s
    y=[itex]\frac{2-s}{2}[/itex]

    whats the next step?
     
  2. jcsd
  3. Aug 26, 2011 #2
    du/dt should be -q^2
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook