The first kind of solitude is a simple one. One is simply alone and has no other to whom one could relate in a deep way. By deep way I mean renouncing one's own ego and will and choosing to look at the world and act from the other's point of view. Lacking such a partner or a companion is the first kind.
The second kind is that there is such a partner but one could no longer relate to the other's thoughts and will in the manner described above. The situation becomes all the more painful when one suspects that the other in fact has no thought or will of this kind which one could follow. For example, if the other makes a request to do something, then one could prove the bond between the two by doing that something no matter what. However, if the other does not request anything, one is left with nothing to work on, and is instead forced to withdraw into oneself. In this way, the bond starts to decay. Being alone while feeling this decay is the second kind.