Proceedings of the Edinburgh Mathematical Society

Table of Contents - Volume 42 - 1923  

Research Article

An Extension of Heaviside's Operational Method of Solving Differential Equations

Dr Bevan B. Baker

An elegant symbolic method of solving differential equations was developed by Heaviside in his “Electrical Papers” and “Electromagnetic Theory,” chiefly in connexion with problems concerning electric currents in net-works of wires. Attention has recently been called to the method by Bromwich, who applied it to a wider range of problems and gave an extension of Heaviside's formula; another generalisation of the formula has been obtained by Carson.

In the present paper a formula is obtained which contains the formulae of Heaviside, Bromwich and Carson as particular cases, and whose form is such that it may be readily applied to physical problems.

(Received September 10 1923)

(Accepted May 02 1923)