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Research Article Open Access
The sextic non-homogeneous equation with four unknowns represented by the Diophantine equation x y k z w 3 3 2 5 Ã¯ÂÂ« Ã¯ÂÂ½ 2( Ã¯ÂÂ« 3) is analyzed for its patterns of non-zero distinct integral solutions are illustrated. Various interesting relations between the solutions and special numbers, namely polygonal numbers, Pyramidal numbers, Jacobsthal numbers, Jacobsthal-Lucas number, Pronic numbers, Star numbers are exhibited.
Integral solutions, sextic non-homogeneous equation, Aerospace Engineering,Applied Electronics,Applied Sciences,Biomedical Engineering,Botany,Fluid Dynamics.