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Re: Calculus of Variations question
Posted:
May 15, 2012 12:09 PM


One can first consider the problem with the additional constraint that the end point be (a,b). We write down the Lagrangian for this problem \int_0^1{f(x(s),y(s))ds} lambda (\int_\sqrt(x'(s)^2+y'(s)^2)1). The EulerLagrange equations are necessary conditions. We then consider the maximal value to this constrained problem as a function of (a,b) and maximise this.



