After a string change, the strings will stretch and fall out of tune for probably a week, maybe more if one doesn't keep retuning frequently to keep the tension up.
And even after it's done stretching, nylon strings require retuning every time the temperature changes, including from adjusting to your body heat and picking/strumming. I tune after every piece, or at least check to make sure I'm still in tune. In an hour sitting, I'll tune probably 5 to 6 times.
At least that's my experience. Others may have found a way to stabilize nylon strings better than me. I swear if my cat even rolls over on the other side of the room, my G will go sharp, or if my wife steps away my B will go flat.
My carbon fiber steel string acoustic can stay in tune for days at a time, no matter how much I play. I tune that maybe twice a week.
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