First, check if you can write it as \( \frac{dy}{dx} = g(x) \cdot h(y) \)—that's variable separable. If not, see if you can express it as \( \frac{dy}{dx} = f\left(\frac{y}{x}\right) \), that's homogeneous. Actually, bhai, the trick is to just try substituting \( v = \frac{y}{x} \); if it simplifies neatly, you've got your answer. I remember this because during the last monsoon, stuck in my Vile Parle hostel room, I solved these while watching the rain pattern repeat on the window—it felt like simplifying chaos into order, just like these equations.
#exams#study
Jump in to reply — no account needed.