ABSTRACT.This article is discussed for finding non-zero different solutions in integers to the non-homogeneous cubic equation with five unknowns represented by \[(z^{3} - y^{3}) = (z^{3} - w^{3}) + 7t^{2}.\]Various choices of integer solutions to the above equation are obtained through employing linear transformations and simplification. Some special results based on the solutions are also discussed.