- #1

Mosis

- 55

- 0

[tex] r^2\frac{d^2Y}{dr^2} + r\frac{dY}{dr} - \left(\frac{3}{2}\right)^2Y = Cr^3Y^{1/3}[/tex]

I know the RHS is an equidimensional DE which has the nice solution [tex] Y = r^{\pm 3/2}[/tex], but I have no idea how this could help with that nasty [tex] Y^{1/3}[/tex] term sitting on the RHS.

Really, we just want to learn SOMETHING about this DE. What do the solutions look like? Does a bounded solution exist? What can we do if C is small? etc.

Any ideas?