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An elegant exact solutions for the Emden–Fowler equations of the first kind |
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| Authors: | Afgan Aslanov |
| Affiliation: | Mathematics and Computing Department, Beykent University, Istanbul, Turkey |
| Abstract: | We study the exact solutions of the Emden–Fowler equations and generalize the n = 1 and n = 5 Lane–Emden equations. We analyze the series approximations and show that explicit formulas can be written for new classes of equations. Copyright © 2015 John Wiley & Sons, Ltd. |
| Keywords: | ordinary differential equations approximations and expansions Lane– Emden equation Emden– Fowler equation isothermal gas sphere |