Solve this ODE (nonseparable equation) – math.stackexchange.com

$$(x\sin(y)+y\cos(y))dx+(x\cos(y)-y\sin(y))dy=0$$ I tried this: $$y'=-\frac{x\sin(y)+y\cos(y)}{x\cos(y)-y\sin(y)} = -\frac{\frac{x}{y}\tan(y)+1}{\frac{x}{y}-\tan(y)}$$. This looks like substitution ...

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