How did Christ and Mohammed deal with demons ?

This is a very good question because when you go to the Koran, you'll find out that Mohammed was under the sway of Satan, more that one time. And I will read you from surat Al Inaam, and surat Al Inaam that is surah 6, and we read there the words of the Koran, and I'd like to read it from there. "And when you, Mohammed, see those who engage in a false conversation about our verses," that means about the Koran verses, "by mocking at them, stay away from them, until they turn to another topic. And if Satancauses you to forget, then after the remembrance sit not you in the company of those people who are the wrong doers." Then we can conclude that Satan was able to cause Mohammed to forget the verses of the Koran. This is serious because if Satan could have power over Mohammed's mind to cause him to forget the Koran, I would say that this is really serious.
Then again, we read in another surat, and that is surat Al Aaraf surat 7, verse 200. And in that surat, surat 7, verse 200, "and if an evil whisper comes to you from Satan, then seek refuge with Allah. Verily, he is all hearer, all knower." Well, now, Satan was able to cause Mohammed to forget. Now, Satan is whispering in the mind of Mohammed. Is that our imagination? No, this is what the Koran says. The Koran s what this is the Arabic verse, "And if an evil whisper comes to you from Satan, then seek refuge with Allah." That means that Mohammed once was under the sway of Satan. Clear in the Koran.
If you go to the biography of Mohammed you will find that there was a time when a Jewish man bewitched Mohammed, that he came to the position that he forgot all that he :used to do. He would do the thing, and then he would say, "Did I do it? Did I not do it?" And in the biography it says that he continued in that position, in that situation until Allah gave him two more surat recorded at the end of the Koran, and then he was cured. So Mohammed was under the influence of Satan.
As for Christ, he cast out demons. There is no doubt about that. He did not only cast out demons, but He gave power to his apostles to cast out demons. He was not only powerful to command demons to come out of any possessed man, but He gave power to His disciples, to His apostles to do the same. And if you go to the book of Mark, Chapter 5, you'll see the story of the man with a legion. And when Jesus encountered that man, here we read, in Mark 5:2, "And when he was come out of the ship, immediately there met him out of the tombs a man with an unclean spirit," And that man was in a desperate situation. Listen to what we read here, "Who had the dwelling among the tombs; and no one could bind him, not even with chains; Because he had often been bound with shackles and chains, and the chains had been pulled apart by him, and the shackles broken in pieces; neither could any one tame him." (Mark 5:3-4) This is a situation now, and he met Christ. And then what happened after that? "When he saw Jesus from afar, he ran and worshipped him." (Mark 5:6) Satan knew who is Jesus Christ. He knew He is the Son of God, he cannot encounter Him. And when the devils in that man saw Jesus from afar, he came and worshipped him. "And cried out with a loud voice, and said, What have I to do with you, Jesus, Son of the most high God? I implore you, by God, that you do not torment us." (Mark 5:7) Jesus had the power to torment the devils. Jesus never came under the authority of the devil. Never, ever.
And then what happened there? "For he said to him, Come out of the man, unclean spirit. Then he asked him, What is your name? And he answered, saying, My name is Legion; for we are many." (Mark 5:8-9) The word 'legion' is a military word. It is a compound of soldiers of six thousands. Could you believe a man had a legion in his body? And then, what did Jesus do to that man? "Also he begged him earnestly that he would not send them out of the country. Now a large herd of swine was feeding there, near the mountain. And all the devils begged him, saying, Send us into the swine that we may enter into them. And at once Jesus gave them permission. And the unclean spirits went out, and entered into the swine; there were about two thousands; and the herd ran violently down the steep into the sea, and drowned in the sea." (Mark 5:10-13) Why did Jesus permitted the demons to go to the swine? To prove to the people that this man is clean from his demons. And then pigs were forbidden for meat for the Jewish people, so it was forbidden to raise pigs. So when Jesus permitted devils to go to the swine, it was a perfect word. He proved that He cleaned that man, freed that man from the power of Satan, and He himself proved that He doesn't approve of any unclean thing in the place. "And then when they came to that man", the Bible continues to say, "then they came to Jesus and saw the one who had been demon possessed and had the Legion, sitting clothed and in his right mind." (Mark 5:16)
The difference is great. Mohammed was under the sway of Satan, but Jesus has the command, the power to cast out devils.