Q. 2

Find the differential equation of all non-vertical lines in a plane

Answer :

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


so and


now differentiating the general form of equation of line



Formula:


Differentiating it again we get



Therefore, this is the differential equation of all non-vertical lines.


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