Hello and welcome to my Shyvana build! This is a strong and tanky build. I hope you enjoy my guide for Shyvana!!!
Ad= Attack damage
As= Attack speed
Ap= Ability power
dmg=damage

Shyvana is a very good and strong jungler, but I like to deal alot of damage so I add damage on red rune! For yellow rune I add alot of armor! It will help you alot in the jungle, and on ganks. And blue runes I got attack speed! For some extra damage and speed. And Purple, is damage, Cause high dmg is fun right?
On laning I use the same runes.

Im not very good with runes, but I like damage and some armor, and I guess thats it lol

When I jungle I start with cloth armor and health potions! Its the standard jungle build, and I like it! the rest is just tanky damage, and that's nice for Shyvana. You can deal alot of damage and still take alot of it.
When I solo top I almost build the same, but if you fail(Don't have enough gold for the *Recurve bow*) you can add Dorans blade, and sell it when you got full spot. But just follow the build and it will end well!

When I play Shyvana I ALWAYS max my W first, it gives me AoE damage, and some extra speed! Under dragonform it will do the same. The E ability is a skillshot. it is like a fireblast. If I hit someone with it, the target will lose 15% armor for 4 seconds! Same under draonform but its a bigger flame. Q is a high damage bite. in dragon form I think it deals damage on everyone infront of you, but im not very sure really. And finally. R!! Shyvanas ult!(lvl 6 ability) She leaps forward and tranform to a big dragon. It deals alot of damage if you hit anyone with jump, and pushed the target(s) away for a small range. You need 100 energy/Rage for the ult. Shyvana lose 6 rage every second and then its on 0 she will be a normal Shyvana again..

as jungler I use Exhaust/Smite, Smite deals alot of damage on minions. so it will help you early on as jungler, and with the masteries you get 10 extra gold per smite you use. And I always use Exhaust cause Shyvana got no slows or stuns! so exhaust will help you alot! And when I lane I change Smite to Ignite, cause I like the extra damage and redused heals inc!

Shyvana got cool skins, I got the boneclaw Shyvana. It's a good skin but I recomend the Darkflame Shyvana. It's cool! And remeber, you won't lose any energy/Rage when using spells, so you can farm, well. You only lose it under dragon form...

Well, I hope you liked my build for Shyvana! Please vote and comment if I missed anything! I will put up some videos in the future, but I don't know when yet!
Sorry for bad english! I was very tired when I created this build! and my G button is kinda f**ked up, so I may miss it sometimes... Enjoy!! /cheers from >Tompelomp<