Neem has a tendency to burn leaves when either sprayed under intense light, or if sprayed in correct conditions (low light) and allowed to dry, the residual oil on the foliage will cause burning the next day, and up to 3 days when the oil naturally breaks down.
When I use neem, I spray in low light after sun passes(outdoor) I allow this to do its job and dry on the plant overnight. early in the morning the next day, I spray with water only to wash off residual neem. They then dry as the sun begins to shine....if you have properly washed off the oil, you should no longer experience the burning.
Good luck, positive vibes.
Derka