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I read that the 'Homogeneous Differential Equation' is one which has form [tex]\frac{\mathrm{d}y}{\mathrm{d}x} = f\left(\frac{y}{x}\right)[/tex] but I came across one example which was [tex]\frac{\mathrm{d}y}{\mathrm{d}x} = \frac{x+y}{x+5y}[/tex] and said that is 'Homogeneous Differential Equation' Too which has 'x' and 'y' in both numerator and denominator. Does that mean that 'x' and 'y' exist in numerator and denomintor, then it's 'Homogeneous Differential Equation'?