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.

Rate this question :

Solve the differential equation given that when

Mathematics - Board PapersThe general solution of e^{x} cosy dx – e^{x} siny dy = 0 is:

The differential equation represents:

Mathematics - ExemplarForm the differential equation of the family of parabolas having vertex at the origin and axis along positive y–axis.

Mathematics - Board PapersSolve the differential equation

Mathematics - ExemplarGiven that and y = 0 when x = 5.

Find the value of x when y = 3.

Mathematics - ExemplarFind the equation of a curve passing through origin and satisfying the differential equation

Mathematics - Exemplar