RT Journal Article
SR Electronic
A1 Marcel, ABAS
T1 SOLUTIONS OF SECOND ORDER LINEAR DIFFERENTIAL EQUATIONS IN EDUCATION OF AUTOMATION
JF Trends in education
YR 2010
VO 3
IS 1
SP 21
OP 23
UL https://tvv-journal.upol.cz/en/artkey/tvv-201001-0003.php
AB In the area of operations research, linear differential equations with constant coefficients very frequently occur. A standart way to solve such equations is using the method of variation of constants or Laplace transform. For some of linear differential equations with constant coefficients one can use both methods, while for the other is possible to use only one of them. In particular, if the right-hand side of the equation is a discontinuous function, it is not possible solve it by the method of variation of constants. On the other hand, if boundary conditions are of a special type, it is not possible to use Laplace transformation to solve the differential equation. In this contribution we show solutions in both cases - we show that the students of automation have to know the both ways of solving.