14. starptautiskā konference 2012 - Latvijas Jūras akadēmija

Proceedings of 14th International conference „Maritime Transport and Infrastructure - 2012”general solutions2ktC1 C e(18)and of a particular solution of a given non-homogenous equationwhich is:s gkts s s(19)ktg C1 C2e t . (20)kIn order to calculate integration constants C1un C2, we find a time dependant speed:v dsdtktg kC2 e . (21)kIf t = 0, s = 0, v = 0, then from (20) and (21) we get:gC2 C1 . (22)2kThese constants are placed in the formula (20) and the result is written:s ktge1 tg. (23)2k kConclusionsDifferential equations are mathematically studied from several different perspectives.Differential equations can be used for many purposes, but ultimately they are simply a way ofdescribing rates of change of variables in an equation relative to each other. Many real world eventscan be modeled with differential equations, this mathematical method brings you the opportunity toenter and experience a unique, global learning environment.References1. Задачи и упражнения по математическому анализу для ВТУЗОВ, под ред. Демидовича Б.П., М.,Наука, 1972, 472 с.2. Cборник задач по курсу высшей математики, под ред. Дюбука П.Е. и Кручковича Г.И., М., Высшаяшкола 1965, 592 с.121