diplomsko delo
Razija Kurspahić (Author), Marko Slapar (Mentor), Tadej Starčič (Co-mentor)

Abstract

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.

Keywords

vzmetno nihanje;sklopljeno nihanje;sistem linearnih diferencialnih enačb 1. reda;

Data

Language: Slovenian
Year of publishing:
Typology: 2.11 - Undergraduate Thesis
Organization: UL PEF - Faculty of Education
Publisher: [R. Kurspahić]
UDC: 51(043.2)
COBISS: 11143241 Link will open in a new window
Views: 1402
Downloads: 155
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Other data

Secondary language: English
Secondary title: Second order linear differential equations and oscillation
Secondary abstract: 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.
Secondary keywords: mathematics;matematika;
File type: application/pdf
Type (COBISS): Undergraduate thesis
Thesis comment: Univ. v Ljubljani, Pedagoška fak., Matematika in računalništvo
Pages: 59 f.
ID: 9166733