ERIC Number: EJ729371
Record Type: Journal
Publication Date: 2006-Jan-15
A New Factorisation of a General Second Order Differential Equation
International Journal of Mathematical Education in Science & Technology, v37 n1 p51-64 Jan 2006
A factorisation of a general second order ordinary differential equation is introduced from which the full solution to the equation can be obtained by performing two integrations. The method is compared with traditional methods for solving these type of equations. It is shown how the Green's function can be derived directly from the factorisation and some interesting relationships between the new methods presented in this paper and some traditional results on differential equations are discussed.
Descriptors: Calculus, Equations (Mathematics), Mathematics Education, Problem Solving, Mathematical Concepts
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Publication Type: Journal Articles; Reports - Descriptive
Education Level: N/A
Authoring Institution: N/A