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**1. The problem statement, all variables and given/known data**

Solve:

[tex] (2x^3 - y)dx + (2x^2y + x)dy = 0 [/tex]

**2. The attempt at a solution**

I've tried looking at this equation as a separable, homogeneous, linear, Bernoulli, and exact equation. None of them work.

Any direction is greatly appreciated. Thank you.