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Transformations of linear second order ordinary differential equations. (English) Zbl 0644.34029

From the author’s abstract: The transformation \(z(t)=\alpha (t)y+\beta (t)y'\) of solutions y of a linear second order ordinary differential in general form is considered and a differential equation for z(t) is derived. Previous results concerning such problem are discussed.
Reviewer: H.Hochstadt

MSC:

34C20 Transformation and reduction of ordinary differential equations and systems, normal forms
34B05 Linear boundary value problems for ordinary differential equations
34B99 Boundary value problems for ordinary differential equations
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