Question:
Find the differential equation of all non-vertical lines in a plane.
Solution:
We know that, the equation of all non-vertical lines are y = mx + c
On differentiating w.r.t. x, we get
dy/dx = m
Again, on differentiating w.r.t. x, we have
d2y/dx2 = 0
Thus, the required equation is d2y/dx2 = 0.
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