Solving differential equations using the MathCAD application software package describing physical phenomena

Abstract

Educational materials related to differential equations are included in the last chapter of mathematics in high school updated content of secondary education. Currently, the teaching methodology of the chapter "Differential Equations" is in a state of formation. The article examines the ways of using computer technology in teaching this chapter. The MathCAD application software package was chosen as a computer technology tool.

Our research reveals the applied issues of differential equations in the process of teaching school mathematics and the principle of interdisciplinary communication between mathematics and physics. The process of solving differential equations using the MathCAD package forms students' skills in using computer technology. In the process of using the MathCAD package, students are trained to create computer programs necessary to obtain a graphical and numerical solution of a differential equation. Examples of solving linear differential equations describing physical phenomena using the MathCAD package are considered. Differential equations characterizing the motion of a body in a viscous medium, the states of vibrational harmonic and damped oscillations are investigated. A program has been developed in the MathCAD environment for solving these differential equations and a technology for their application has been created.

The article also discusses the algorithm for using the MathCAD application software package for solving differential equations.