Biological energy originates from the sun and is stored in plants and animals as chemical energy in the form of bonds between atoms in various molecules. Plants mainly convert solar energy into chemical energy while animals get it from plants. It is stored in these chemical bonds in stable molecules like carbohydrates and thus a form of chemical energy. It exists mainly in the biological or living organisms. This energy is important for survival for living organisms.
However both are a form of energy and involve exothermic processes. Also, both cause some action to occur during their transfer from one entity to another or their conversion to other forms of energy. Both exist in our solar system and source of both is mainly a heavenly body i.e. The sun in case of biological energy and the Earth in case of earthquake geological energy.