Find the differential equation of all non-vertical lines in a plane
To find: differential equation of all non-vertical lines
General form of equation of line is given by the equation.
y=mx+c where m is the slope of the line
for the given condition the slope of line cannot be equal to or because if it so then the line will become perpendicular which is not required
now differentiating the general form of equation of line
Differentiating it again we get
Therefore, this is the differential equation of all non-vertical lines.
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