2 uses of 'would' (BBC Learners' Questions)

source: BBC Learning English     2017年5月19日
Pablo in the Canary Islands says: can you explain to me the use of 'would' in these sentences:
"I invited her to my house, but she wouldn't come."
"That's typical of you - you would go to the pub without leaving me a note!"
Dan has all the answers!
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