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