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Solving this 2nd order DE without numerical methods

  1. Dec 14, 2007 #1
    Any ideas on how one would go about attempting to solve this set of equations (for x and y and lambda) without numerical methods. Is it possible, even just to get a approximate solution?

    Is a set of two 2nd order DE's,

    [tex]\ddot{x}[/tex] - [tex]\dot{x}[/tex] + xy/R - [tex]y^{2}[/tex] tan(lambda) - 2*C*sin(lambda)*y = 0

    Where y = f(x, lambda, t), lambda = f(x, t), R , C, P are constants

    [tex]\ddot{y}[/tex] -[tex]\dot{y}[/tex] + y*(x*tan(lambda)+P) + 2C*x*sin(lambda) + 2*C*P*cos(lambda)

    where x = f(y, lambda,t), lambda = f(x,t), R ,C, P are constants

    [tex]\dot{lambda }[/tex] = x/R
    Last edited: Dec 14, 2007
  2. jcsd
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