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Ordinary Differential Equations

Type of study Bachelor
Language of instruction Czech
Code 470-2108/01
Abbreviation ODR
Course title Ordinary Differential Equations
Credits 6
Coordinating department Department of Applied Mathematics
Course coordinator Mgr. Bohumil Krajc, Ph.D.

Subject syllabus

Lectures and tutorials:
-Ordinary differential equations (ODE) - motivations, models
-Definitions of the solution of ODE, solution of the Cauchy problem
-Separable ODE
-Linear ODE of the first order
-Theorems about the solvability and uniqness for solution of the Cauchy problem
-Bernoulli ODE
-Exact ODE, integration factor
-Linear ODE of the higher orders
-Homogeneous systems of ODE
-Nonhomogeneous systems of ODE, the method of the variation of constants

Literature

BOYCE, William E., DIPRIMA, Richard C., MEADE, Douglas B. Elementary Differential Equations, Enhanced eText, 11th Edition, Wiley, 2017. ISBN 978-1-119-32063-0 .

Advised literature

ZEIDLER, Eberhard (ed.). Oxford User's Guide to Mathematics. Oxford University Press, New York, 2004. ISBN 0-19-850763-1