Trends in education, 2010 (vol. 3), issue 1

TVV 2010, 3(1):21-23

SOLUTIONS OF SECOND ORDER LINEAR DIFFERENTIAL EQUATIONS IN EDUCATION OF AUTOMATION

ABAS Marcel
Institute of Applied Informatics, Faculty of Materials Science and Technology in Trnava,, Hajdóczyho 1, 917 24 Trnava

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.

Keywords: Linear differential equation, Laplace transformation, variation of constants.

Published: July 1, 2010  Show citation

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Marcel, A. (2010). SOLUTIONS OF SECOND ORDER LINEAR DIFFERENTIAL EQUATIONS IN EDUCATION OF AUTOMATION. Trends in education, 3(1), 21-23
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