First as shyvana i would normaly start at wraiths, and use my burnout and basic attacks to kill them. Then i would move to red and use burnout and basic attacks with smite to kill it. I then go to goloms and basic attack into a q with burnout activated the big one will go down in seconds. I then go to wraths for the second time using burnout to run in and my basic attack to q combo once again on the big wraith to kill it and then finishing the small wraiths off with basic attacks. i then move onto wolves and a simple little combo again drops them in seconds. Finally go to blue and use burnout and your q to kill it along with smite.
Remember that are alternative routes and most the time i will gank bot or mid at level 2 with burnout and red buff you are faster than them for atleast a easy kill.