Eutychesa was started by a monk named Eutychus who lived in Constantinople from 378-452, A.D. and taught that Jesus’ human nature was not like the nature of other human beings. In essence, the God-part of Jesus consumed His human nature and took over. This heresy is in direct conflict with various scriptures which speak of Jesus “learning obedience, though He was the Son of God,” and Jesus being “being made like us so that He could be a compassionate and merciful High priest.” Both of these principles are found in the book of Hebrews which tells us that Paul was keenly aware of this philosophy that Jesus was not really human like the rest of us.
The dual nature of Christ is of extreme importance for our understanding that the Father wanted His Son to experience all of the same difficulties, temptation, and sufferings that we go through as human beings. It would have been useless for Jesus to go through these same things if they did not affect Him in the same way that they affect us. How could a person who suffers through temptation identify with Jesus who was tempted but did not feel the same power of temptation that this suffering person was going through?
The entire point of Jesus being made one of us and going through all of the same difficulties that we endure, was so that on that dark night when we feel as if there is no hope and we are no going to make it, we remember Jesus our Savior who also went through these things and cares for us. This makes such a great difference to people who know and love Him, that He understands what it is like to be us.
Therefore, in all things He had to be made like His brethren, that He might be a merciful and faithful High Priest in things pertaining to God, to make propitiation for the sins of the people. For in that He Himself has suffered, being tempted, He is able to aid those who are tempted. ~Hebrews 2:17-18