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The article discusses the possibilities of using modern computer technologies, in particular, the Mathcad application program for visual representation of physical processes. This article shows methods for solving ordinary differential equations in the Mathcad package based on numerical methods. As an example of a nonlinear process, the Cauchy problem for a second order ordinary differential equation is solved using the Mathcad odesolve function, which is a complication of the linear oscillatordoi:10.9734/ajrcos/2020/v6i330161 fatcat:o7jkalmafbhd3miusqsavlheyq