[PDF] Top 20 Integral Solutions of Non- Homogeneous Ternary Cubic Equation [2(x+y)]2-15xy=64z3
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Integral Solutions of Non- Homogeneous Ternary Cubic Equation [2(x+y)]2-15xy=64z3
... diophantine equation offers an unlimited field for research due to their variety ...for cubic equation with three ...for ternary cubic equation [2(x+y)] ... See full document
6
On the Non-Homogeneous Cubic Equation with Four Unknowns $(x-y)^2 = 2z^3+w^2$
... Integral solutions for the non-homogeneous Diophantine cubic equation is an interesting concept as it can be seen from [1, 2, ...of cubic Diophantine ... See full document
6
Observation on the Cubic Diophantine Equation with Four Unknowns $(x^3+y^3)+(x+y)(x+y+1)=zw^2$
... the Homogeneous or Non- homogeneous Diophantine cubic equation is an interesting concept as it can be seen from [ 1 , 2 , 3 ] ...of cubic Diophantine equation with ... See full document
9
On the Cubic Diophantine Equation with Five Unknowns x3 + y3 + (x+y)(x-y)2=32(z+w)p2
... particular, cubic equations, homogeneous and non-homogeneous have aroused the interest of numerous mathematicians since antiquity (Dickson,1952; Mordell,1969; Carmichael, ...2012)for ... See full document
5
On Homogeneous Cubic Diophantine equation with Four Unknowns $3(x^3+y^3) = 8zp^2$
... 3 x + y = zp is analyzed for finding its non-zero distinct integral ...of solutions of the equation under consideration are obtained the relations between the integer ... See full document
8
Integral Solutions of the Ternary Cubic Equation 3(x2+y2) 4xy+2(x+y+1)=972z3
... integer solutions of a diophantine equation with three or more variables and equations of degree at least three, in general presents a good deal of ... See full document
5
On the Non-Homogeneous Ternary Quadratic Equation $2(x^2+y^2)-3xy+(x+y)+1=z^2$
... Diophantine equation offer an unlimited field for due to their variety [ ] 1 − 3 ...interesting homogeneous quadratic equation with three unknowns given by 2 ( x 2 + y ... See full document
7
ON THE NON HOMOGENEOUS CUBIC EQUATION WITH FIVE UNKNOWNS EQUATION
... particular, cubic equations, homogeneous and non-homogeneous have aroused the interest of numerous mathematicians since antiquity ...for homogeneous and non-homogeneous ... See full document
8
On the Non-Homogeneous Quintic Equation with Five Unknowns $X^4-Y^4=10 p^3 (Z^2-W^2)$
... quintic non-homogeneous equation with five unknowns represented by the Diophantine equation ( x 4 − y 4 ) ( = 10 z 2 − w 2 ) P 3 is analyzed for its patterns of ... See full document
6
On the Homogeneous Ternary Quadratic Equation $11x^2-2y^2 = 9z^2$
... interesting equation 11 x 2 − 2 y 2 = 9 z 2 representing homogeneous quadratic equation with three unknowns for determining its infinitely many ... See full document
9
On The Homogeneous Ternary Quadratic Diophantine Equation 5x2+4y2=189z2
... Diophantine equation offer an unlimited field for research due to their variety 1 3 ...quadratic equation with three ...interesting equation 5 x 2 4 y 2 189 z ... See full document
10
On The Homogeneous Ternary Quadraticdiophantine Equation 6x2 +7y2 =559z2
... Diophantine equation offer an unlimited field for research due to their variety 1 3 ...quadratic equation with three ...interesting equation 6 x 2 7 y 2 559 z ... See full document
12
Integral Solutions of Homogeneous Biquardratic Equations with Five Unknowns $2(x^4-y^4)=(z^2-w^2)p^2$
... Diophantine homogeneous and non-homogeneous have aroused the interest of numerous ...its integral solutions in its required general form this paper concern with the homogenous ... See full document
7
On the Cubic Diophantine Equation with Four Unknowns $x^2+y^2=z^3-w^3$
... Diophantine equation offers an unlimited field for research due to their variety ...for cubic equation with three unknowns. In [14,15] cubic equations with four unknowns are studied for its ... See full document
11
On The Homogeneous Cubic Equation With Four Unknowns $(x^3+y^3)=7zw^2$
... representing homogeneous cubic with four unknowns for determining its infinitely many non-zero integral points, also a few interesting relations among the solutions are pres[r] ... See full document
9
A Ternary Quadratic Diophantine Equation $x^2+y^2=65z^2$
... Diophantine equation with three unknowns offers an unlimited field for research because of their variety ...interesting equation x 2 + y 2 = 65z 2 representing ... See full document
7
Observations on the Homogeneous Ternary Cubic Equation with Four Unknowns $3(x^3+y^3)=2zw^2$
... Diophantine equation offer an unlimited field for research due to their variety ...for cubic equations with three unknowns. In [6-8] cubic equations with four unknowns are studied for its ... See full document
8
Integer Solution of the Homogeneous Bi-Quadratic Diophantine Equation with Five Unknowns $(x-y)(x^3-y^3)=(z^2-w^2)p^2$
... ( x − y x − y = z − w p is analyzed for its nonzero distinct integer ...integer solutions to the above bi-quadratic equation are ...the solutions and special number ... See full document
7
On Solutions of the Diophantine Equation $p^x + q^y = z^2$
... + 2 n ) = 2(p + 2 n-1 ) = z 2 (3) implying that z is even, and z 2 is a multiple of ...(3) 2(p + 2 n-1 ) is a multiple of 2, whereas z 2 is a multiple of ... See full document
7
INTEGRAL SOLUTIONS OF NON- HOMOGENEOUS QUINTIC EQUATION WITH THREE UNKNOWNS
... of non-zero distinct integral solutions and three different methods of integral solutions are ...the solutions and special numbers, namely, polygonal numbers, Jacobsthal numbers, ... See full document
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