Transcription of Emden-Fowler Equation - EqWorld
{{id}} {{{paragraph}}}
Example: bachelor of science
Emden-Fowler Equation - EqWorld
EqWorld Exact Solutions > Ordinary Differential Equations >. Second-Order Nonlinear Ordinary Differential Equations > Emden Fowler Equation 00. 2. yxx = Axn y m . Emden Fowler Equation . 1 . With m 1, the Emden Fowler Equation has a particular solution: 1. n+2 (n + 2)(n + m + 1) m 1. y= x 1 m , where = . A(m 1)2. 2 . The transformation z = xn+2 y m 1 , w = xyx0 /y leads to a first-order (Abel) Equation : z[(m 1)w + n + 2]wz0 = w2 + w + Az. 3 . The transformation y = w/t, x = 1/t leads to the Emden Fowler Equation with the independent 00. variable raised to a different power: wtt = At n m 3 wm . 4 . Table 1 presents all solvable Emden Fowler equations whose solutions are outlined in Handbook of Exact Solutions for Ordinary Differential Equations by Polyanin & Zaitsev.
EqWorld http://eqworld.ipmnet.ru Exact Solutions > Ordinary Differential Equations > Second-Order Nonlinear Ordinary Differential Equations > Emden–Fowler Equation ...
Loading..
Information
Domain:
Source:
Link to this page:
Please notify us if you found a problem with this document: