Q. 12

Write the order of the differential equation of all non-horizontal lines in a plane.

Answer :

We know equation of a line in a plane is


ax + by = 1


Now equation of non-horizontal lines in a plane is given by,


ax + by = 1, a ≠ 0


Now a and b are two constants here we differentiate twice w.r.t y we get,





Since a ≠ 0 then,


is the differential equation of all non-horizontal lines in a plane.


Here the order of differential equation of all non-horizontal lines in a plane is 2.


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