# Solving this 2nd order DE without numerical methods

1. Dec 14, 2007

Hello,
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,

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

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

$$\ddot{y}$$ -$$\dot{y}$$ + 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

$$\dot{lambda }$$ = x/R

Last edited: Dec 14, 2007