First, check if you can get it into the form dy/dx = f(x)g(y). If you can separate x and y on different sides, it's variable separable. If not, try putting y = vx; if it simplifies to a function of v alone, it's homogeneous. But listen, in my coaching, I see students force the homogeneous method on everything. Real understanding is like spotting a gym member's form—you see the pattern, then you know which approach to lift the problem. My neighbor's boy failed his exam trying to make every equation homogeneous, just because the book said so. Start with separation, always.
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