Question: IVP help needed.

I am stuck with an IVP which is

eq1:=diff(y(x),x$2)+2/x*(diff(y(x),x))+y^M=0;

ic:=y(0)=a,D(y)(0)=0;

its quite easy to find the series solution of the ode 

dsolve({eq1, ic}, y(x), series);

y(x)=a-(1/6)*exp(M*ln(a))*x^2+(1/120)*(exp(M*ln(a)))^2*M*x^4/a;

But I am facing problem when I try to solve it numerically,

dsolve(subs(a=1,M=3,{eq1,ic}),numeric);

THanks

Please Wait...