There are those few dragons in Runeterra who have mastered the intense magical energies that course through their unique anatomies, evolving into an elusive Celestial Dragon. These powerful and enigmatic creatures spend most of their time hidden away from the lands of men. However, there are those who find themselves drawn to civilization and who take on human forms to immerse themselves in the world of humans. Occasionally, one finds itself drawn to the spirit of a human and they have relations. Sometimes, in the slimmest of odds, the union will bear fruit and that offspring will be one of the few half-dragons to have graced Runeterra. Shyvana is one such creature, born to a simple Demacian farm-girl and her Celestial Dragon father. Left to be raised by her mother, her oddities were something that couldn't be hidden from her community, though she was protected by her family. Once her family had perished in disaster, she was left alone for the first time – truly alone. Shyvana quickly became an outsider and it wasn't long before the community's fear began to put her in danger. Facing mortal danger at the business end of an angry mob, she was rescued by the traveling noble, Jarvan Lightshield. The noble was a man who strangely knew exactly what she was and took her under his wing. It wasn't long before she was offered a chance to use her natural skills in the service of Demacia, as Jarvan initiated her as one of the elite guard. Following Jarvan into the League of Legends was only natural.

Shyvana is a fierce warrior, with the blood of one of the most powerful magical predators in all creation flowing through her veins. Unlike some of her fellows, she is a subdued personality – somber, cool, and collected. However, when the moment strikes, her draconian heritage manifests and there are few that can stare her in the eyes and not feel the primal urge to flee.

“By the blood of my father, I will end you!”

As you can guess, this is my first guide, i never bothered to make guide's cause most guides out there can tell you what you need to know. but this was a special case because Shyvana, is a unique champion to me.
Shyvana is a Melee champion with an assortment of skills to use that are close to other characters ability's, She has a skill shot that does the same effect as Wukong strike. An aoe that increases movement speed, a ability that lets your next attack do 2 attacks like Master Yi passive, and an ult that has same effect as Nidalee and grants new ability's replacing the existing ones making them stronger and do grant aoe to all ability's.
I main Pantheon and do fairly well with both old and new version, so when i saw another melee champion that seemed interesting i jumped in and grabbed her.
Please feel free to comment and i will work on improving, i don't expect this guide to go far but as a base start to Shyvana players
My first guide is a brief one i use while the second one is A More tanky build that can still dish out some damage, while the third is a alternate i briefly discuss in the items section. I only plan on discussing the main build in this guide as the other 2 builds are just reference to fit a persons play style.
I know i have a lot to learn about this game and there are gonna be a lot better guides, if anyone finds this at least useful i would be very happy but I'm a decent player at most and there are probably a lot of flaws to be pointed out by the veterans on this site.
As always, Please vote and comment!

Note this will probably be a ;TLDR guide

Pro's
Great burst
decent aoe
good escape mechanic
New(less people know counters)
Can fill multiple role's
really easy to use

cons
kinda squishy early on
No CC
prone to focus if played well
New(first timers may find difficult)
she's a Dargon(inside joke don't worry)
really easy to use(no challenge just yet)

I choose these ruins for a precise reason, for marks and quints, i go 9 Greater mark of desolation, 9 Greater Seal of Attack Speed, 9 Greater Glyph of Cooldown Reduction and 3 Greater Quintessence of desolation, as a melee champion i simply love armor pen and that's what I'm trying to focus on here
For Glyphs i choose either Flat armor or Attack speed glyphs because this dragon is a little slow in the attack speed area.
For glyphs i choose Cool down reduction glyphs, a little CDR didn't hurt anyone but the opponent
and i kinda like the lower cool down on her Twin Bite ability and having the W come even half a second early can save lives!

I choose 21/6/3 for my mastery.
i choose 21 in offense picking up the CDR and sacrificing the increased crit damage one point because i don't find Shyvana to be a critting champion, the rest is basic.
i go into the armor and magic resist of the defence tree for some extra survivability.
i put the rest into that helpful health rejen and waste the mana rejen.
some optional would be to put some into dodge but i never find it worth it or putting it into the reduced revive time one, which i don't choose because i never plan to die enough for that to be helpful.

For summoner spells i like going Exhaust + Flash.
Optional one for exhaust would be Ignite without the talent cause you wont be needing the +10 AP
Depends on personal preference because Ignite could be useful to pick up those kills or stop that healing

Useless
Ghost - Useless with her Short CD W that works just as well
Heal - i always find this a useless spell when not playing a support
Clarity - i don't need to say anything here do i?
Clairvoyance - Support should have
Fortify - hardly ever used not very useful ALL GAME
Rally - Ive honestly never used this, could be useful for early game i guess but not later.

As for items, I start off buy buying Boots and some health pots, the amount of pots doesn't matter but go what your comfortable with,I later build those boots into mercury treads because with the items i have listed, the Berserker's Greaves AS isn't needed but the Tenacity from Mercury's Treads can really be helpful when you start getting focused, i found after using Trinity Force for a couple games vs having the health from Frost Mallet, i preferred Frost Mallet more because Shyvana doesn't have that large of a health pool so Trinity Force just wasn't cutting it for me, I get Wit's End towards mid for the much needed Attack speed at this point and because the Magic resist that comes with it can help you shut down those annoying casters, yes I'm talking about you Annie. Between the Frost Mallet and the Wit's End i usually build up a Heart of gold and now is when i would use that to get a randuins Omen for that much appreciated slow and armor + the health that comes with it is nice to go along with. Now comes the damage doing, i usually run with an Infinity Edge on pretty much any AD character i play, but being as i never see Shyvana in this build crit hard with it it would also be possible to go with Bloodthirster, i go IF because i do in fact like that crit when i get it even if she isn't a crit monster like some champions, As for a Black Cleaver i always so NO! because she has armor reduction built into her E. And last i got for a Stark's ferver for that team buff and the helpful life steal, i get this for Attack speed reasons and the life rejen is a nice add-on, if you choose the Bloodthirster route you could go Phantom Dancer in its place.

For farming i find that her aoe is sufficient while throwing in her q to kill mobs, especially tanks, quicker.
Start off just last hitting like you should be, don't waste auto attacks and don't be afraid to use ability's. If the enemy comes up to get a kill scratch them once or twice and let them run away, gives your free space.

if guide go's well, I plan to build a guide and build for this.

Shyvana skills are all very nice and go well with her passive

Passive: Fury of the Dragonborn Shyvana's melee attacks do various things for some of her ability's, It
Lowers her Twin Bite by .5 second
Increases the duration of her Burnout by 1 second per attack with a max of 6 seconds
Players with debuff's receive 20% more damage from her Flame Breath
Passively gain 1 fury every 1.5 seconds while in human form

Human form ability's
Her Twin Bite scales 1:1 with AD and on use her next attack will hit twice for 100% damage, Much like Master Yi's(Note: I'm still trying to test if this resets her auto attack, if it does it could make this an even better ability, Hit Twin Bite hit hit 3 hits in a very short timer is amazing burst if used right)

Her Burnout is a nice Aoe that has a mini Ghost built in but poorly scales with AP,But it is nice to chase or initiate or even escape a fight.

Her Flame Breath is a skill shot that lowers the armor by a base % of an opponent and does magic damage on contact

Her final Dragon's Descent launches her towards the direction chosen, pushing champions that way as well, and trans form's her into a dragon, and like Nidalee, changes her ability's as well.

Dragon form ability's

Her Twin Bite has the same damage but now cleaves everything in front of her, destroying in a team fight.

Her Burnout now scorches the ground leaving a trail like Singed and keeps the aoe effect.

Her Flame Breath now fires her skill shot in a cone and still lowers the armor of those caught in the effect.

I usually enter a solo fight by using my E W Q rotation and just letting my auto attack do the work, for a team fight ill R W E Q while making sure to use Q the second its up

LoL isn't a solo game, Teamwork is very important, if your tank goes in first don't use your ult to mess up and push everyone around try to go in almost last so the people running towards your ranged carry/s get pushed back into the tank and your melee, also don't be afraid to use your ult to save an ally, with auto attacks your rage bar fills up rather quick.
Try and hit the carry/s + tank with your breath to lower their armor and allowing your melee to sweep them up and cleave away at everyone.
If your being chased, pop ult lure them into a teammate using your W to burn away at their HP and laugh as they chase you(LoL feels like a singed).

That's all for Viewing and commenting on my first guide on Shyvana.
Thanks and have fun playing Shyvana!