Question: how to solve a nonlinear differential equation?

I want to solve this:
ode := diff(f(x), x, x)+(diff(f(x), x))/x-(1/2)*(1/x^2+3.6*10^17/(6.6))*sin(2*f(x)) = 0;

bcs := f(rho) = 0, f((4*10^(-8)-rho)^.5)

 

and I want to plot it for a range of rho between 10^-9..7*10^-8.
what should I do?

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