Advanced Search

Question: ODE of Lane-Emden type

Question:ODE of Lane-Emden type

Boby 15 Maple 13
ode singular
August 04 2015
1

 

diff(y(x), x, x)+2*(diff(y(x), x))/x+af(x)*g(y(x))=0

> 

restart
> 

"n:=5: y[0]:=0: f(x):=1: g(y):=e^(-y): L:=x^(-2)(ⅆ)/(ⅆ x) (x^(2)(ⅆ)/(ⅆ x) ): L^(-1)(y):=(∫)[0]^(x)x^(-2)(∫)[0]^(x)x^(2)dxdx: "
> 

"for m from 1 to n do: `&varkappa;`[m]:={[[0,m<=1],[1,m>1]]: R[m]:=simplifyL^(-1)((d^(2)y[m-1])/(dx^(2))+(2)/(x)(&DifferentialD;y[m-1])/(&DifferentialD; x)+f(x)g(y) ); y[m]:=simplify(y[m-1]*`&varkappa;`[m]-R[m]): od;"

``

plz help me, I m trying to solve homotopy analysis method for lane emden, what additional steps I have to taken in above programming?

Download LE_EQ.mw
Please Wait...