Integral Solutions Of Homogeneous
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Abstract
The ternary homogeneous quadratic Diophantine equation is analyzed for finding its non-zero distinct integral solutions. Seven different patterns of integer solutions are presented. A few interesting relations between the solutions are presented. Introducing the linear transformation x=u+v, y=u-v and employing the method of factorization,different patterns of non-zero distinct integer solutions to the above equations are obtained. Also by using specific transformations, various pattern of solutions are exhibited
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References
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