Find the lagrangian corresponding to the hamiltonian find, Physics

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Find the lagrangian corresponding to the hamiltonian find

A Hamiltonian of one degree of freedom has the form with a,b,and k areconstant.

\(H=p^2/2\alpha-bqpEXP-\alpha t+(ba/2)q^2EXP-\alpha t(\alpha+bEXP-\alpha t)+kq^2/2\)

(a) Find the Lagrangian corresponding to the Hamiltonian.

(b) Find an equivalent Lagrangian that does not depend on time.

(c) What isHamilton corresponding to this second Lagrangian? What is the relation between the two Hamiltonians?

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Physics: Find the lagrangian corresponding to the hamiltonian find

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Physics: Find the lagrangian corresponding to the hamiltonian find

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