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## Homework Statement

This problem is from V.I Arnold's book Mathematics of Classical Mechanics.

Q) Show that every differential 1-form on line is differential of some function

## Homework Equations

The differential of any function is

$$df_{x}(\psi): TM_{x} \rightarrow R$$

## The Attempt at a Solution

The tangent to line is line itself. The differential 1-form is ##dy-dx=0##. Here I am struct. I don't know how to find out the differential. Can anyone help?