Bitches and males I'm afraid.
Some people think bitches urine is stronger but I am not sure if that is true.
I think bitches tend to empty their bladder in one go, whereas males do it a bit at a time to mark territory, so there tends to be less in the one spot from males.
I have found nothing to cure brown patches in over 30 yrs. So I resort to a bag of compost, and a box of grass seed. Each time I mow the lawn, I scrape the brown areas lightly, sprinkle seed, then cover lightly with compost. During growing season it usually germinates quite fast.
Luckily most of my garden is hard landscaped. Helps keeps their nails short too.