20.500.12556/RUL-84911 Linearne diferencialne enačbe 2. reda in nihanje Second order linear differential equations and oscillation V prvem delu diplomskega dela obravnavamo splošno teorijo linearnih diferencialnih enačb 2. reda in sistemov linearnih diferencialnih enačb 1. reda. V primeru konstantnih koeficientov predstavimo načine analitičnega reševanja diferencialnih enačb. Drugi del diplomskega dela obravnava uporabnost in praktično rabo linearnih diferencialnih enačb 2. reda s konstantnimi koeficienti na primeru vzmetnega nihanja, kjer s pomočjo znanih fizikalnih zakonov izpeljemo diferencialne enačbe in nato uporabimo postopke za reševanje le-teh. Zaključimo s primerom sklopljenega nihanja, ko imamo povezanih več vzmetnih nihal, kjer se reševanja lotimo z uporabo linearnega sistema diferencialnih enačb 1. reda. 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. linearna diferencialna enačba 2. reda linear differential equation second order true false false Slovenski jezik Angleški jezik Diplomsko delo 2016-09-08 02:42:23 2016-09-09 15:32:09 2025-04-17 04:52:31 0000-00-00 00:00:00 2016 0 0 0000-00-00 NiDoloceno NiDoloceno NiDoloceno 0000-00-00 0000-00-00 0000-00-00 11143241 diploma_Razija.pdf diploma_Razija.pdf 1 7565D2704B4712F219AC113F6C14611A 2b23c857d3dbbadf7a78ed775fddff0177a9befba04c90afdd6528979b15c71a 988c2905-1aab-11f0-b232-0050569b8976 https://repozitorij.uni-lj.si/Dokument.php?lang=slv&id=204746 Pedagoška fakulteta 0 0 0