A vibration that becomes noticeable during acceleration can come from several parts of the vehicle. Driveshaft joints, CV axles, mounts, and other drivetrain components may be involved. Tires and wheels can also cause vibration that changes with road speed.
The differential is one possible source, but vibration alone does not establish that it has failed. Note whether the shaking changes when you ease off the accelerator and where you feel it most.
Share those details with Certified Transmission in Council Bluffs. If the vibration is severe or affects control, stop safely and arrange assistance.