DJI Forums:

Well, I am going to be on my third DJI Phantom 4 Pro V2. Two of these drones had the same problem with the footage shaking left and right. It would appear this could be inbalanced propellers/motors or a gimbal vibration issue. I have tried both sets of propellers as well. The drone is running the latest software along with the controller and app.

At our university, we have multiple DJI Phantom 4 Pro V2's to compare mine to. The drones at the university don't have this issue. I have attached a YouTube video and this is with an ND8 filter at 24 fps (shutter speed 1/50). Please mainly watch the first six seconds. This is on a day with no wind.

DJI New Phantom 4 Pro Shaking - YouTube
https://youtu.be/AvoLeMKNOAA

Hello there dtbecker. I am sorry for the trouble this has caused and thank you for reaching out. Before this issue happened on your DJI Phantom 4 Pro v2.0 was there a hard landing or a crash that happened to the said DJI Drone? Kindly please check the propellers of the said drone for damages as well and if still the issue persist it would be best to contact our DJI Support Team at https://repair.dji.com/repair/index or via http://www.dji.com/support to open a case. Again, I am sorry for the trouble and thank you.