Homogeneous De

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A differential equation of the form dy/dx = f(y/x) is called

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1. **Homogeneity Definition**: A function $g(x, y)$ is homogeneous of degree zero if $g(\lambda x, \lambda y) = g(x, y)$.
2. **Differential Form**: When $\frac{dy}{dx}$ can be expressed as a function of the single ratio $y/x$, the equation is **Homogeneous**.
3. **Substitution**: These are solved by letting $y = vx$, which transforms the equation into a separable one for $v$ and $x$.

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Homogeneous De

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To solve a homogeneous DE, we use the substitution

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