Differential equation of Newton

The differential equations of Newton are the differential equations of the type:

$v^2\; +\; 2\; U\; (X)\; =\; 2Eo$

leading by derivation to

$\backslash \; ddot\; \{X\}\; =\; G\; (X)$

These differential equations bear the name of the physicist and mathematician Isaac Newton.

Resolution

One draws from the first equation $v\; (X)\; =\; \backslash \; pm\; \backslash \; sqrt\; \{2Eo-2U\; (X)\}$, which brings back the problem to a problem of time Diagramme.

In Physical, one speaks about problem of Puits of potential or Barrière of potential. It is the prototype of the problems which are brought back to an unknown factor X (T) in dynamics.

See too

• Differential equation

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