if u don't use the train system too much, then it is not efficient to apply that kind of "discount card" as it is also cost you money. i remember it is around 100 or over this price.
so, normally, it is better to try taking bus, as it is different experience and see more things on the bus if u are not very hurry of time.
but if u like taking train, then u better apply the wild card. However, the situation is different now. In the past, i remember, it is possible to get the wild card in front of the cashier desk of any railway station, but nowadays, it seems u have to go to Arhus to apply this kind of card, and u will receive the card by post later/
the bus from Arhus to CPH cost you around 120 dkk for one trip, as it is a discount price for student from monday to Thursday, something like that, the brand name of the bus called 555.
u can try to find it in internet,
if u can not find it, i can help u to search it next time.
(We will start to promote the web site by e-mail these days. Hope you can also help us little bit to forward the web site to your friend here. It is really a good idea to have a common platform for everyone here. Thanks.)
The web site of our fourm is:
viaviavia.forumotion.com
i just found the website of the bus:
http://abildskou.dk/use-the-bus-it-s-quick-and-affordable/