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There is a problem from a Russian textbook in classical mechanics.
Consider a scalar equation Show that this equation can be multiplied by a function such that the resulting equation
has the Lagrangian form
I can only say that by the Cauchy-Kowalewski theorem it can be done locally provided is an analytic function.
But some relatively elementary way is supposed. Sure it is a local assertion.
What do you think?
Consider a scalar equation
I can only say that by the Cauchy-Kowalewski theorem it can be done locally provided
But some relatively elementary way is supposed. Sure it is a local assertion.
What do you think?
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