This is a common psalm for use at the Easter Vigil that I don’t think turns up on any Sunday but I think is on a weekday mass.
It is from Paul Mason’s Psalms for All Time. What is different here is that the response (“His love is everlasting”) is repeated after each line rather than each stanza. He does it in groups of three lines with a different tune for each line – otherwise it would get monotonous. You really are going to have to see the music written out and follow his instructions, as he has the verses for two different responsorial psalms with the same response and differing verses and it is a little confusing.
For those who can follow along in his book or a missal here is a backing.