Playing Shyvan u myst be very agrsic player. Its easy too score 1 kill so try to do that.
In late game u will do a lot of dmg and you will have a lot of durability so atack even 2 chars one time. Remember about that u can run witj your ulti and its cd is very fasy becouse with your hits u make it smaller and smaller.

Burnaout skill gives u a lot off speed so remember to use it. If its neccecary u can use your ulti.If u are on lane with gp or sona you will catch evryone.

You can kill dragon when u get bf its near 8 or 7 level so if u have time do it