Question: Construct the Lagrangian and Compute the Noether symmetries, first integrals of the combined gravity inertial rossby wave equation + g(x)y = 0, where g(x)

Construct the Lagrangian and Compute the Noether symmetries, first integrals of the 

Construct the Lagrangian and Compute the Noether symmetries, first integrals of the combined gravity inertial rossby wave equation + g(x)y = 0, where g(x) is an arbitrary function of x. dx?

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