I've had my car for a year now and I notice I've never asked this question. Whenever I start my car there is always a buzzing sound from under the hood of the car. Sounds coming from the motor/close to the motor. I can't really descibe the buzzing/humming. Kind of similar to that of changing the side view mirrors of certain cars only louder.

Anyway the sound goes on for a few seconds, stops. Then goes on again for about 4 or so seconds usually. Lately I've noticed after the first humming/buzzing sound the second time it does it goes on for a longer time then usual with it being a little louder and sometimes after it finishes the ABS light cuts on. I notice when it's really cold outside it does that a lot.

I'm curious to know if this happens to other Accord drivers to. And I also want to make sure nothing is particular wrong. Thanks in advance.

 

First thing to do is check the ABS reservoir level. Brake fluid contracts when cold. Next check around the ABS unit for signs of leakage. Might be a good idea to flush and bleed the system.
The reason to flush and bleed the system is because the moisture/water and crudsinks in the system, and the check valve that holds the pressure is at the lowest point.
You can't buy the $3 check valve by itself, you have to replace the entire unit.