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z==x+iy can be written (x,y)
 
z==x+iy Through the Euler formula, a complex number  may be written in
 "phasor" form

z==|z|(costheta+isintheta)==|z|e^(itheta).

 |z|=sqrt(x^2+y^2)
phi=tan^(-1)(y/x).

In the degenerate case when x==0

phi=={-1/2pi if y<0; undefined if y==0; 1/2pi if y>0.

Quadratic System equation

You can find the value of these solutions may be both real x = 7 , y = 3 or complex.          
Derivatives of Unknown Functions

first derivative of a function y= f[x] of one variable and
 You can find the value of the derivative when x=0 or 1 ,2 ,3... by
 replacing x with 0 ,1,2,3,....
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Double pendula are an example of a simple physical system which can exhibit chaotic
 
The equations of motion can also be written in the Hamiltonian formalism. Computing the generalized momenta gives
Hamiltonian equations:

                                      

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