(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

(xy+2xyln^2y+ylny)dx + (2x^2lny + x)dy = 0

3. The attempt at a solution

well, I've tried my best to solve it and I've filled almost two papers trying to solve it with introducing new variables and substituting and then plugging them in but It hasn't gotten solved yet. any ideas would be appreciated.

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# How to solve this differential equation?

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