The Laplace transform is an operation useful in the solution and analysis of differential equations. The utility of the transform is based on the idea that its use replaces a differential equation problem by an algebraic exercise which is more easily solved. This aspect is particularly clear in the case of ordinary differential equations, although the same basic method carries over (with suitable complications) to the case of certain partial differential equations.


Impulse Response Partial Fraction Force Function Elementary Transform Spring Mass System 


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Copyright information

© Springer Science+Business Media New York 2004

Authors and Affiliations

  • Jon H. Davis
    • 1
  1. 1.Deparment of Mathematics and StatisticsQueen’s UniversityCanada

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