Show me where they differ
"[I]n the day that the LORD God made the earth and the heavens, And every plant of the field before it was in the earth, and every herb of the field before it grew: for the LORD God had not caused it to rain upon the earth, and [there was] not a man to till the ground. But there went up a mist from the earth, and watered the whole face of the ground. And the LORD God formed man [of] the dust of the ground, and breathed into his nostrils the breath of life; and man became a living soul"
(Genesis 2:4b-7)
What is described as taking place over six days in Genesis 1 takes place in a single day in Genesis 2. This is not because Genesis is false, but because "day," here, is not literal. I.e., it does not occur in 24 hours. Rather, "day" is used mythically, to represent a time of work.
But also note, that Genesis 2 says that Man was created in the day that he created the Heavens and Earth, and this was BEFORE he plants had grown from the earth. In the first account, the Earth brought forth every kind of plant and vegetation on the fourth day, and man was created on the sixth day.
Read as facts, these stories contradict. Read as myth, they simply describe two different sets of relationships.
You need not fear a slippery slope leading from a recognition of how to read a myth to the apostasy of the modernists who read everything as myth and deny the resurrection of Christ: There are passages of the bible to assert what is not only myth, but what is also history: Luke 1:1-4; John 20:30-31 and 21:24-25; 1st John 1:1-4; 1 Cor 15: 15-29; 2 Tim 2:18.
(The New Testament is written entrely by witnesses; but there are other portions of the Old Testament which depict events which no-one could witness, such as in the book of Job.)