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Question
Find the differential equation of all non-horizontal lines in a plane.
Solution
The general equation of all non-horizontal lines in a plane is ax + by = c.
Where a ≠ 0.
Therefore, `"a" "dx"/"dy" + "b"` = 0.
Again, differentiating both sides w.r.t. y, we get
`"a" ("d"^2x)/("dy"^2)` = 0
⇒ `("d"^2x)/("dy"^2)` = 0.
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