8.5.3 Can you answer these questions?

8.5.3.1 Can I solve a differential equation with the (ir)regular Coulomb wavefunctions?

https://mathematica.stackexchange.com/landing/r/digest?cta=question&id=263132

When I evaluate 
   DSolve[w''[]] + (1 - (2 )/) w[] == 0, w[], ] 
 
Mathematica returns me a solution in terms of the Hypergeometric1F1 and HypergeometricU ... 
[differential-equations] [symbolic] [special-functions] [version-13]
 

asked by Yann https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=84926 Score of 3

8.5.3.2 RSolve unable to solve the equation

https://mathematica.stackexchange.com/landing/r/digest?cta=question&id=263095

I gave the following code as input: 
 RSolve[x[n + 1] == 1/2 x[n] + 2 Log[x[n]], x[n], n] 
Mathematica gave the same output: 
 
... 
[mathematical-optimization] [difference-equations] [sequence] [convergence]
                                                                                  

                                                                                  
 

asked by coconut2000 https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=84915 Score of 1

answered by DiSp0sablE_H3r0 https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=49048 Score of 0

8.5.3.3 Skeletonizing an image

https://mathematica.stackexchange.com/landing/r/digest?cta=question&id=263200

I'm trying to skeletonize an image (ref) 
 img = Import["https://i.stack.imgur.com/q2xUi.png"] 
graph=  MorphologicalGraph[img] 
 
Input image: 
 
Skeleton ... 
[graphs-and-networks] [image-processing]
 

asked by Natasha https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=58343 Score of 1