[PDF] Top 20 INTEGRAL SOLUTIONS OF NON- HOMOGENEOUS QUINTIC EQUATION WITH THREE UNKNOWNS
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INTEGRAL SOLUTIONS OF NON- HOMOGENEOUS QUINTIC EQUATION WITH THREE UNKNOWNS
... equations, homogeneous and non-homogeneous have aroused the interest of numerous mathematicians since ...for quintic equation with three unknowns and [6-8] for ... See full document
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On the Non-Homogeneous Quintic Equation with Five Unknowns $X^4-Y^4=10 p^3 (Z^2-W^2)$
... The 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
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Integral solution of the non-homogeneous Quintic Equation with Seven Unknowns .
... Gopalan,M.A,(2013), Integral solutions of Non-homogeneous Ternary quintic Equation, ax 2 by 2 ( a b z a b ) , , 5 0 , International Journal of Computational Engineering ... See full document
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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 ...cubic equation with three ...cubic equation [2(x+y)] 2 -15xy=64z 3 for determining its infinitely many ... See full document
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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 ...cubic equation with three ...four unknowns are studied for its non-trivial integral ... See full document
11
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 2 representing ... See full document
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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, ...Diophantine equation with three and four ... See full document
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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 2 representing ... See full document
10
Integral Solutions of The Octic Equation With Five Unknown (x-y)(x3+y3)=12(w2-p2)T6
... particular, homogeneous and non-homogeneous equations of higher degree have aroused the interest of numerous mathematicians since archeological find ...heptic equation with three, four ... See full document
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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
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On Homogeneous Cubic Diophantine equation with Four Unknowns $3(x^3+y^3) = 8zp^2$
... its non-zero distinct integral ...of solutions of the equation under consideration are obtained the relations between the integer solutions and special numbers namely polygonal number ... See full document
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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
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ON THE NON HOMOGENEOUS CUBIC EQUATION WITH FIVE UNKNOWNS EQUATION
... equations, homogeneous and non-homogeneous have aroused the interest of numerous mathematicians since antiquity ...for homogeneous and non-homogeneous cubic equations with ... See full document
8
Integral Solutions of The Octic Equation With Five Unknowns
... The non-homogeneous octic equation with five unknowns represented by the Diophantine equation ( − )( + ) = 12( − ) is analyzed for its patterns of non-zero distinct ... See full document
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OBSERVATIONS ON THE NON HOMOGENEOUS EQUATION OF THE EIGHTHDEGREE WITH FIVE UNKNOWNS
... particular, homogeneous and non-homogeneous equations of higher degree have aroused the interest of numerous mathematicians since antiquity[1- ...five unknowns are studied. In [6-8] heptic ... See full document
10
Analytical Solutions of Undamped and Autonomous Cubic-Quintic Duffing Equation
... Duffing equation with cubic and quintic nonlinearities which is ubiquitous to the description of many physical systems was ...its solutions that are relevant to the prediction of chaos in forced ... See full document
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On the Ternary Quadratic Diophantine Equation 4x2 – 7xy2 + 4y2 + x+y+1=19z2
... Diophantine Equation given by 4 represents a cone and is analyzed for its non-zero distinct integer ...the solutions and special polygonal and pyramided numbers are ...of non-zero distinct ... See full document
5
Stability and Entanglement in an Optomechanical System
... We have inspected the characteristics of stability and entanglement in an optomechanical system. We have investigated the critical points within the system and used the covariance matrix formula- tion to extend the ... See full document
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On the Non-Homogeneous Quadratic Equation with Five Unknowns $x^2+xy-y^2-(z+w)=10 p^2$
... L.E.Dickson, History of Theory of Numbers and Diophantine Analysis, Dove Publications, New York, Vol 2 (2005).. L.J.Mordell, Diophantine Equations , Academic press, New York, (1970).[r] ... See full document
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Homotopy approximation technique for solving nonlinear Volterra-Fredholm integral equations of the first kind
... Volterra-Fredholm integral equation of the first kind is solved by using the homotopy analysis method ...kind integral equation can be reduced to the second kind integral ... See full document
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