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2009•arXiv (Cornell University)Open access

On the differential equation $y" - (b'(x)/2b(x))y' + \lambda b(x)y = 0$

Christian Rakotonirina

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Abstract

The Hamilton-Jacobi method which can be used for solving this equation has been presented. The solution of the equation suggests that there exist some second order linear ordinary differential equations whose resolution can be done by means of characteristic equation.

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What this paper is about

The Hamilton-Jacobi method which can be used for solving this equation has been presented. The solution of the equation suggests that there exist some second order linear ordinary differential equations whose resolution can be done by means of characteristic equation.

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Available abstract

The Hamilton-Jacobi method which can be used for solving this equation has been presented. The solution of the equation suggests that there exist some second order linear ordinary differential equations whose resolution can be done by means of characteristic equation.

Key concepts: Lambda, Mathematics, Exact differential equation, Differential equation, Ordinary differential equation, Bernoulli differential equation, First-order partial differential equation, Mathematical analysis

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On the differential equation $y" - (b'(x)/2b(x))y' + \lambda b(x)y = 0$ — Research Paper | ScholarLens