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System of ODE

  1. Sep 29, 2011 #1
    while solving Lagrangian of a system to derive equations of motion in presence of a constraint, I have finally landed down to a system of 3 coupled ODEs , where i have two variables(x and y) and 1 Lagrange multiplier.
    ODEs are of order 4,3 and 1 respectively.
    L1(x,y)=lambda
    L2(x,y)=0
    C(x,y)=0
    where L1 and L2 are odes and C is the constraint

    Now how to solve such a system. Any suggestions?

    My attempt was:
    after deriving ODEs L1 and L2, i applied constraint and got these 2 ODEs in one variable by replacing another one, but i am still confused, these two ODEs will give the same solution? or i need to manipulate between these two as well?
     
  2. jcsd
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