Answer:
Let the general equation of the family of alt straight lines passing through the origin is y = mx ... (i) On differentiating both sides w.r.t. x, we get \[\frac{dy}{dx}=m\] \[\Rightarrow \] \[\frac{dy}{dx}=\frac{y}{x}\] [from Eq. (i)] \[\Rightarrow \] \[x\frac{dy}{dx}=y\]
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