A generalization of the Lane-Emden equation. (English) Zbl 1154.65059

Summary: Singular initial value problems are investigated. We consider a new class of equations of Lane-Emden or Emden-Fowler type. The coefficient of \(y^\prime\) rewritten in terms of a new function \(\varphi (x)\) such that the equation can be solved in terms of \(\varphi \). Some special cases of the equation are solved as examples, to illustrate the reliableness of the method.


65L05 Numerical methods for initial value problems involving ordinary differential equations
34A34 Nonlinear ordinary differential equations and systems
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