STUDY OF SOLUTIONS OF SECOND-ORDER DIFFERENTIAL EQUATIONS IN THE MAPLE PROGRAM

Abstract

The article in question is intended for undergraduates and students of various specialties interested in mathematical calculations. Analytical solutions of second-order ordinary differential equations are obtained using the dsolve command in the Maple program. The existence and uniqueness of solutions of second-order homogeneous and inhomogeneous differential equations, the solution of the boundary problem, checking the resulting solution using the odetest command, the creation of numerical solutions and a plot of the numerical solution using the odeplot command, and the possibilities of studying the approximate solution are considered. In addition, the results of the analysis of the derived solution, the solution of the Cauchy problem or the boundary value problem, the study of the solutions of homogeneous and inhomogeneous second-order differential equations, the approximation solutions of inhomogeneous second-order differential equations, the numerical solution of differential equations and the graphs of the numerical solution were created.