No CrossRef data available.
Article contents
A Relation between two Ordinary Linear Differential Equations of the Second Order
Published online by Cambridge University Press: 31 October 2008
Extract
1. Between the solutions of the equations
a relation can be established, provided the functional symbols f, ø are inverse to one another. For example, let f (x) = sin x, then ø(ξ)= arcsin ξ, and the two equations are
The process consists in obtaining from (1) the second order equation satisfied by yx = dy/dx, making a change of independent variable in (2), and comparing the resulting equations.
- Type
- Research Article
- Information
- Copyright
- Copyright © Edinburgh Mathematical Society 1935