When the vinegar solution is almost dry, sprinkle a bit of baking soda onto the wet spot on the carpet.
Only use 3% hydrogen peroxide solution; any higher solution of hydrogen peroxide is medical-grade and may be too strong for a carpet, causing bleaching. Spray or pour a small amount of the hydrogen peroxide solution onto the baking soda and work it into the carpet with a soft brush.
If the dog was potty trained and is now urinating, you may want to get them checked out at the vet clinic.

Getting dog urine out of your carpet doesn't have to be hard, but you'll need to act quickly. Be sure to use dabbing motions which pick up the urine, rather than rubbing motions which will push the urine deeper into the carpet. Dog urine that is allowed to dry will not only stain the carpet, but will make it easier for harmful bacteria to start multiplying. The following are ways to get dog urine odor out of the carpet to prevent future repeat incidents.

How do you stop a puppy from biting your ankles Dog clothing patterns