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The Algebraic Derivative Applied to Laplace’s Differential Equation

  • K. Yosida
Part of the Applied Mathematical Sciences book series (AMS, volume 55)

Abstract

Pierre Simon Laplace (1749–1827) in his treatise “Théorie analytique des probabilités” of 1817 considered a differential equation which now carries his name and which may be written as
$$ \left( {{a_2}t + {b_2}} \right)y''\left( t \right) + \left( {{a_1}t + {b_1}} \right)y'(t) + \left( {{a_0}t + b} \right)y\left( t \right) = 0, $$
(19.1)
where the a’s and b’s are given complex numbers with a2≠ 0.

Keywords

Complex Number Ferential Equation Operational Calculus Linear Ordinary Differential Equation Convolution Theorem 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer Science+Business Media New York 1984

Authors and Affiliations

  • K. Yosida
    • 1
  1. 1.Kamakura 247Japan

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