Steps of Exact and Analytic Solutions of Ordinary Differential Equations using MAHA Integral Transform and Its Applications

Transformation such as integral transform is needed to obtain the exact solutions for linear ordinary differential equations (ODEs) with constant coefficients of higher orders. MAHA transformation exact solution of ODEs is simpler and easier than the previous with two parameters. The major steps of this transform are applying the MAHA transform on the given equation followed by taking the inverse transform. The general steps in numerical solutions involve defining the ODE as a function, defining initial conditions and the range of the independent variable, using an appropriate ODE solver function, and calling the solver and plotting the solution using a programming language. The exact and analytical solutions are validated. Both methods are easy and simple to be deployed in computing scientific applications such as nuclear physics and medical applications.