Gyrocopter is on of the strongest early game fighting carries and midlaners, and scales pretty well into the late game. He is great at clearing weaves and jungle stacks fast, easy to get CS with due to his fast projectile speed, has high base armor and quick attack animation, hight burst and AoE damage. Though, Gyro has low base damage and range, lack of escape/mobility abilities, can be outscaled in the late game, can't win 1 vs 1 against most of the carries.

Gyro is good against weak offlaners (melee or without disables like Centaur or Axe), heroes with illusions and summons ( Visage, Lycan, Undying, Brood, BM, Chen, Ench, TB, CK).

Gyro is good with heroes that can initiate fight and allow him to use his spells perfectly (Tide, Earthshaker, DS, Treant, Warlock, Disruptor, Enigma), heroes that can set up HM (Bane, SS, Lion) and heroes that use your HM setup (Invoker, Pudge, Mirana), defensive heroes that can keep Gyro alive (Io, Oracle, Omni), and Ogre for his Bloodlust. Make sure you have enough lockdown and initiation.

Good lane matchups are OD, DP, Razor, Storm, Viper, QoP

Gyro is bad against hard carries in the late game and spell immunity heroes (AM, Spectre, Void, Jugg, Lifestealer), some very high range heroes are pretty annoying (Tinker , Sniper, Zeus), and the worst thing is Blademails (on Axe, LC, Clockwerk).

Gyro is bad with greedy midlaners who wants to farm Ancients (Sniper, Medusa, TA).

Bad lane matchups are Puck, DK, SF.

Early game.
Your main goal as a carry is to win your lane, (at least not loose), win the early game and make sure you hit items timings as it should be.
Your power spikes are phase boots, ulti.
Your main goal as a midlaner is to create a lot of pressure around the map,take fights and push towers in the first 20 minutes and then decide how to transition.
Use HM to secure important CS and denies.
After 10 min mark rotate from midlane to another lane and try to take tower.
Your power spikes are lvl 6, 7 and when you BKB.

Laning stage.
Use you HM to zone out offlaner/midlaner. If he chooses to run, you will free farm. if he chooses to tank it, you can kill him.
Make sure you contol lane equilibrium and get as many both CS and Denies as possible!
In mid lane oyu can use FC to secure CS and harass enemy.

Mid adn late game.
Your main goal as a carry is to farm, get fast T1 towers and get ahead. Focus on farming big items.
Ask teammates to stack for you or do it yourself when possible.
Your main goal as a midlaner is to be more of a teamfighter and then transition into hard carry in the late game.
You power spikes are 15 and 20 lvls talents and finishing items.

Split-push.
You can clear wave with FC. and ulti.

Goinfg high ground.
Use your FC to hit enemies while hitting tower and HM to zone enemy out, make them use magic immunity or simply stun.

Ganking.
You won't be going on ganks a lot. Spend your time either going for teamfights and objectives or farming.
You want hero sith a stun to go first to setup for your HM.

Roshan.
When taking you want to use RB - Mom - RB. As for contesting, gyro lclose fights like near Roshpit.

Teamfighting.
Combo: HM - Ulti - BKB - RB - FC - MoM

Playing against Gyro.
Consider taking spell-immune carries with high PD (Lifestealer, Jugg) or at least with only high PD (Void, TB).
Split-pushing heroes can prevent Gyro from teamfighting.
In lane good matchups are Puck, DK, SF.

Respect Gyro's high teamfight damage in early and mid game.
Try to split-push instead of fighting.
Block Ancient camps, ganking him and contest stacks.
Try to force his BKB and abilities, disengage and reengage.

Itemizing against Gyro.
BKB, Pipe, Crimson.
Nullifier is cool, because you don't really need Orchid with it.

Greetings, thanks and shoutout to SMD (Game-Leap).
https://www.gameleap.com/dota/dashboard

Enjoy!

Emperor, Russia.