Concept explainers
Problems
where
where the perturbation vector
Thus, for
Since Eq.
Thus the Euler-Lagrange equations for the function
The Ray Equations. In two dimensions, we consider a point sound source located at
where
where we have used the differential arc length relation
Find the Euler-Lagrange equations from the functional representation on the right in Eq.
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Differential Equations: An Introduction to Modern Methods and Applications
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