The Solution of Linear Differential Equations with Constant Coefficients

  • P. Atkinson


The dynamic behaviour of certain physical systems including linear, continuous control systems may be phrased in terms of linear differential equations containing constant coefficients. These equations are formulated using basic laws such as Newton’s second law and Kirchhoff’s laws. Consider for example an extremely simple problem involving an elastic, inertialess shaft connected to an inertialess, viscous damping paddle at the far end.


Arbitrary Constant Linear Differential Equation Equation Factorize Transient Solution Substitution Rule 
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Copyright information

© P. Atkinson 1968

Authors and Affiliations

  • P. Atkinson
    • 1
  1. 1.University of ReadingUK

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