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I Calculus of Variations Dependent variables and constraints

  1. Apr 20, 2016 #1
    If we have a function:

    \begin{equation} f(x,x',y,y',t) \end{equation} and we are trying to minimise this subject to a constraint of
    \begin{equation} g(x,x',y,y',t) \end{equation}

    Would we simply have a set of two euler lagrange equations for each dependent variable, here we have x and y.

    Would we insert f(x,x',y,y',t)-Ag(x,x',y,y',t) into both equations, where A is a constant? Or would each equation require a different constant in front of the constraint term g(x,x',y,y',t)??
  2. jcsd
  3. Apr 21, 2016 #2
    pl. give explicit eq of constraint -that will define the set of generalized coordinates.
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