He gives the the gift to Odysseus because he is the cousin of Poseidon and he is mad at him for some reason and he wants to show of that he is better than him!
He does not wish to incur the god's wrath. He can tell that the gods have cursed Odysseus. Also, Odysseus has already wasted his first gift.
King Aeolus gave Odysseus a bag of winds.
Oddysseus met Aeolus on the island of Aeolia
Odysseus regales Aeolus with stories of the war at Troy for a month, before leaving. When he returns, Odysseus begs Aeolus for more help, but he is denied.
Odysseus stayed with Aeolus on his island for a month.
Aeolus gives Odysseus a tightly closed bag full of the captured winds so he could sail easily home to Ithaca on the gentle West Wind. It is his hospitality and respect for Odysseus and his doings at Troy that makes him give this gift.
He does not wish to incur the god's wrath. He can tell that the gods have cursed Odysseus. Also, Odysseus has already wasted his first gift.
there is pungent wine
Aeolus bottled up all winds but the west winds and put them in an ox-hide bag for Odysseus.
King Aeolus gave Odysseus a bag of winds.
Odysseus remained with Aeolus for a month out of hospitality. Further, Aeolus wished to know about the war of Troy, and asked Odysseus many questions on the subject.
Aeolus gives Odysseus a bag of winds to help him sail safely back to Ithaca. However, Odysseus' crew opens the bag, releasing the winds and causing them to be blown off course once again.
Aeolus thought that the gods hated odysseus and banished them from his island
Oddysseus met Aeolus on the island of Aeolia
Aeolus
Aeolus gave Odysseus the bag of winds as a gift to help him reach Ithaca safely. However, Odysseus' curious crew opened the bag, thinking it contained treasure, which released the winds and blew them off course. Aeolus released the west wind this time as punishment for their failure to reach their destination.
Odysseus regales Aeolus with stories of the war at Troy for a month, before leaving. When he returns, Odysseus begs Aeolus for more help, but he is denied.