Differential Equations and Polynomials

This is part of Dr. Basti’s decades of research on Riccati and polynomial equations. Mathematicians and scientists will see that new ways of solving the classical equations of science and engineering will provide better results to their own problems associated with these equations. New sets of solutions of Bessel differential equations (in trigonometric terms) are presented; in addition, solving integrations are viewed within the polynomial-Riccati DNA structures. Also, the quintic equation is addressed in conjunction with Riccati equations.