I am having a hard time choosing one. I like them both but maybe one is better than the other. So can you please tell me which one is better at soloing and which one is better at DPSing. Also can you tell me why you would choose that class? Thanks!

i would go for druid one reason because they can change into animals at level 10 like cats and bears plus good magic spells in the the game

Im actually making a lvl 70 twink kitty at the moment i already have a druid though i just wanted a lvl 70 twink lol. But to be completely honest druids used to be the OP (over powered) class over rogues unless you were a very skilled rogue mainly because druids could shape change and heal themselves now that Cata came out rogues have recupperate which has totally changed rogues and made them OP as hell. I have a level 85 rogue and recupperate is rediculouse build up 5 combo points pop recupperate and vanish heal yourself up its OP. What makes rogues and feral druid differant is feral druids are about bleeds and burst, rogues like in the sub. tree are all about burst, mutalate rogues are about poisons and combat is more of an in your face hello im here to kill you fighter. BUT feral druids bleed damage is well... I dont even know the words its crazy damage all i can say. Positive if your getting hit by a hunter as a druid and they concussion shot you pop a heal pop back into cat form and it takes you out of the slow. Overall the druid class is very good at PvP and PvE (Player Vs Player, Player Vs Everything). You have a lot of versatility as a druid for example you can heal/tank/DPS Melee/DPS Caster. You will get more out of a druid in that aspect. I'v been playing a rogue since i started playing 5+ years ago and im fond of them. Just started to play a feral druid my level 80 druid is resto/moonkin. But im loving the feral druid so far but im only a level 32. Soloing i would say rogue but being a sub. rogue because you can have quick kills and keep going also i would say rogues are better at DPSing thats my personal oppinion I love rogues there not as versitile as a druid but i love them because thats my favorite char. to play besides a shadow priest. But thats not what your asking about. The reason i would choose a druid if I was you is if your just starting out because you have a lot of versatility and you can try out tanking/healing/ranged and melee DPSing. The prob. with a rogue in my oppinion is in order to be a decent rogue besides knowing your rotation and how to play them you NEED weapons to do good damage. So best of luck to you i hope this has helped you out atleast some.