Dear Friends

            Hope everything going fine with you. I want the numerical solution of nonlinear system of ordinary differential equations using RK method. The system of ODEs and their required results are present in attached file. I am waiting your quick response.

Help.docx

With my best regards and sincerely.

Mob #: 0086-13001903838

Dear friend! Hope every thing going fine with you. I need the solution of the following inqulity (for what values of a[1], a[2] and a[3] the equity hold) and it simplist form. 

3*a[1]*a[2]*a[3]-2*a[1]*a[2]-2*a[1]*a[3]-2*a[2]*a[3]+2*a[1]+2*a[2]+2*a[3]-1 <= 3*a[2]*a[1]*a[3]-((a[1]*a[2]*a[3]+1)/(a[2]*a[3]-a[3]+1)-1)*((a[1]*a[2]*a[3]+1)/(a[1]*a[3]-a[1]+1)-1)-((a[1]*a[2]*a[3]+1)/(a[2]*a[3]-a[3]+1)-1)*((a[1]*a[2]*a[3]+1)/(a[1]*a[2]-a[2]+1)-1)-((a[1]*a[2]*a[3]+1)/(a[1]*a[3]-a[1]+1)-1)*((a[1]*a[2]*a[3]+1)/(a[1]*a[2]-a[2]+1)-1)

I am waiting your quick response

Mob #: 0086-13001903838

Dear hope you will fine. I am try to make a program of square free factorization over a finite field whose alogrithm is below:

Algorithm: SFF (Square-Free Factorization)
  Input: A monic polynomial f in Fq[x]

Output: Square-free factorization of f

i←1; R ← 1; g ← f′;
  if g ≠ 0 then {
     c ← gcd(f, g);
     w ← f/c;
     while w ≠ 1 do {
           y ← gcd(w, c); z ← w/y;
           R ← R·zi; i ← i+1; 

           w ← y; c ← c/y }
     if c ≠ 1 then {
           c ← c1/p;

           Output(R·SFF(c)p) }

     else  Output(R)
  else {
           f ← f1/p;

           Output(SFF(f)p) }

  end.

The attached file my try to make this, please find and help me to complete this. I am waiting your kind response.

Help.mw

With my best regards and sincerely.

Dear

Hope everything going fine with you. I have question

f := x^11+2*x^9+2*x^8+x^6+x^5+2*x^3+2*x^2+1

g := 2*x^10+x^7+2*x^4+x

if we take gcd of infinite field its answer is x^6+1 

and the GCD(3)[x]=Z_3[x] is given by x^9+2x^6+x^3+2

How we find GCD(3)[x] in maple. 

With my best regards and sincerely.

Dear, my attached file take alot time to exicute the result, Please solve this problem. I am waiting your kind response. 

Hirota_Bilinear_Method-3.mw

With my best regards and sincerely.

Muhammad Usman

PhD (Scholar) Mathematics

HITEC University, Taxila

Lecturer of Mathematics

Govt. Degree College Taxila Pakistan.

Visiting Lecturer of Mathematics

University of Wah, Pakistan.

Email: mughal1103@gmail.com

Mob #: +923152329276