Is there any numerical approach to solve a BVPs for ODEs of the form: $y'=\frac{ky^2-y^{3/2}-y}{\beta t}$ with initial point $(0,y0)$?
I know a problem of the form $y' = \frac{S}{t}y+f(t,y)$ with singularity at the initial point can be solved numerically, but does a problem like mine can be solved?