
The first, second, third and fourth order space by time equations.

The first, second and third order space by time equations.
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The product rule of differentiation

Movement of an object on an aging spring

Energy of an object on an aging spring

Energy dE = F dx differentiated twice by time

Fixed aging spring integrated by dt for a contant velocity movement.

Fixed aging spring integrated by dx

Fixed aging spring integrated by discrete steps dx

The calculation of Lagrange (1736-1813) second order.

The relativistic differentiation of the fourth impulse component by time from Prof.dr.ir. JJJ Kokkedee (1935-2013).

A force times velocity has three differentiation.

The aging spring differential equation

Can you differentiate a force?

Suppose the energy in a system is E(x,t) = g(t) h(x). So a time dependent part and a position dependent part.

The qv x delta x electrical field is qv x -1 magnetic field lead to :
the dF_action/dt = -1 dF_reaction/dt

A rotatinng graviational ellipse with an extra relation.

A rotatinng graviational ellipse.
y\ =\ \pi\ -4\sum_{n=1}^{100000000}\frac{1}{2n-1}\left(-1\right)^{1+n}