How to approach the Differential equation $$2(x-y \, \sin(2x)) \, dx + (3y^{2} + \cos(2x)) \, dy=0$$ I cannot see whether the equation is in any standard form. Initial steps and/or hints appreciated.
2026-05-15 11:23:23.1778844203
Differential equations cannot spot any standard form
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$$2(x-y \, \sin(2x)) \, dx + (3y^{2} + \cos(2x)) \, dy=0$$ $$2(x-y \, \sin(2x)) + (3y^{2} + \cos(2x)) y'=0$$ $$2x +(y\cos(2x))'+(y^3)'=0$$ Integrate $$x^2 +y\cos(2x)+y^3=K$$