The Einstein field equations are a set of 10 simultaneous, non-linear, differential equations.
A non-linear ordinary differential equation for the normal quantile, w(p), may be given.
The final result is an accurate solution of the original non-linear equations.
The general case requires the solution of a set of non-linear simultaneous equations.
In general, solving these non-linear equations presents a formidable challenge because of the huge range over which the free concentrations may vary.
Perturbation techniques can be also used to find approximate solutions to non-linear differential equations.
The real usefulness is not apparent because it still relies on a system of non-linear differential equations.
We have noted that chaotic behaviour can arise only for systems governed by non-linear equations.
He was also the first to solve three non-linear simultaneous equations with three unknown variables.
These non-linear equations are used to map the joint parameters to the configuration of the robot system.