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Question
Find the differential equation of all non-vertical lines in a plane.
Solution
Equation of all non-vertical lines are y = mx + c
Differentiating with respect to x,
We get `"dy"/"dx"` = m
Again differentiating w.r.t. x
We have `("d"^2y)/("d"x^2)` = 0
Hence, the required equation is `("d"^2y)/("d"x^2)` = 0.
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