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Anwendungen der Laplace-Transformation

In: Beispiele und Aufgaben zur Laplace-Transformation

Author

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  • Hans Josef Löhr

Abstract

Übersicht In diesem Kapitel steht die Anwendung der Theorie der Laplace-Transformation im Vordergrund. Wir beginnen mit der Behandlung elektrischer Kreise, in denen Kondensatoren, Ohmsche Widerstände und Spulen in Reihe geschaltet sind. Dies führt auf gewöhnliche Differentialgleichungen, wie sie ähnlich auch in der Mechanik bei der mathematischen Beschreibung des Federpendels auftreten. Der größte Teil dieses Kapitels ist der Behandlung von elektrischen Netzwerken gewidmet. Dies führt auf Systeme gekoppelter Differentialgleichungen, wie sie ähnlich auch in der Mechanik bei der mathematischen Beschreibung von gekoppelten Federpendeln auftreten.

Suggested Citation

  • Hans Josef Löhr, 1979. "Anwendungen der Laplace-Transformation," Springer Books, in: Beispiele und Aufgaben zur Laplace-Transformation, chapter 4, pages 129-179, Springer.
    • Handle: RePEc:spr:sprchp:978-3-663-00110-2_4
    DOI: 10.1007/978-3-663-00110-2_4
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