A function \(f\left( {x,y} \right)\) is defined as homogeneous of order \(\alpha\) if it satisfies the property \(f\left( {tx,ty} \right) = t^{\alpha } f\left( {x,y} \right)\) for some constant \(\alpha\) . This chapter explores the theory and solution techniques for first-order homogeneous differential equations, specifically those defined by functions of degree zero. A significant portion of the text is dedicated to the standard method of solving these equations: using the substitution u=y/x (or y=ux) to transform a complex expression into a simpler, separable differential equation. Beyond standard homogeneous forms, the chapter addresses "near-homogeneous" equations—those involving linear rational functions—where the lines in the numerator and denominator either intersect at a specific point or are parallel. The chapter details how to handle intersecting lines through a shift in origin to achieve homogeneity, while parallel lines are simplified using a direct linear substitution. Each method is supported by step-by-step hand calculations and verification through implicit differentiation. Furthermore, the integration of MATLAB provides a modern computational approach, demonstrating how to solve these equations symbolically and numerically while confirming the consistency of results obtained through manual derivation.