In the first part of this diploma thesis we discuss the general theory on linear differential equations of second order and systems of linear differential equation of first order. For constant coefficients, we present analytical methods of solving differential equations. The second part of diploma thesis focuses on usability and practical use of linear differential equations of second order with constant coefficients in case of spring oscillation, where we first deduce differential equations using well-known laws of physics and then use procedures for solving these equations. We conclude with a case of coupled oscillation, which connects several springs. In order to solve the case of coupled oscillation, we use a linear system of differential equations of first order.
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