Ordinary Differential Equations with Polynomial Coefficients. Solution by Means of the Laplace Transformation and by Means of Integrals with Angular Path of Integration

  • Gustav Doetsch


The L-transformation serves to solve not only linear ordinary differential equations with constant coefficients, as explained in Chapter 15, but also linear differential equations with polynomial coefficients. We deferred the solution of the latter category, for it also provides examples for the application of the method of asymptotic expansion of a B-transform which was developed in Chapter 37.


Ordinary Differential Equation Singular Point Asymptotic Expansion Linear Differential Equation Original Function 
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Copyright information

© Springer-Verlag Berlin Heidelberg 1974

Authors and Affiliations

  • Gustav Doetsch
    • 1
  1. 1.Emeritus of MathematicsUniversity of FreiburgFreiburg i. Br.Germany

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