Question: Show that if A satisfies the Lagrange equations, it also identically satisfies the equation d dr ax A x 0 on the basis of

Show that if A satisfies the Lagrange equations, it also identically satisfies 

Show that if A satisfies the Lagrange equations, it also identically satisfies the equation d dr ax A x 0 on the basis of the homogeneity of A by explicitly forming the total derivative with respect to r that occurs in the equation.

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