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If $\frac{d y}{d x}=f(x, y)$ is a homogeneous differential equation, then the general form of $f(x, y)$ is
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The correct answer is:
$\phi\left(\frac{y}{x}\right)$
Since $\frac{d y}{d x}=f(x, y)$ is said to be a homogeneous differential equation if $\mathrm{f}(x, y)$ is a homogenous function of degree zero.
i.e. $\frac{d y}{d x}=f(x, y)=\phi(y / x)$
i.e. $\frac{d y}{d x}=f(x, y)=\phi(y / x)$
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