To know the correct battery, you need to:
1. Find your vehicle's year. This is usually found on your vehicle's title, registration, or on a sticker inside the driver's side doorjamb.
2. Consult your owner's manual. This will specify the exact battery group size and recommended specifications.
3. Check the battery itself. The battery group size (e.g., Group 35, Group 48) is usually printed on top.
Without the year of your Dodge Dynasty, I cannot provide a specific answer.