Home
Class 12
MATHS
Form the differential equation of family...

Form the differential equation of family of lines concurrent at the origin.

Text Solution

Verified by Experts

Equation of family of line concurrent at origin is given by y=mx
`therefore (dy)/(dx)=m`
Putting the value of m in (1), we get
`y=(dy)/(dx).x`
or `xdy-ydx=0`, which is required differential equation of order q. Here order is same as number of effective constants in the equation of family of curve.
Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIAL EQUATIONS

    CENGAGE ENGLISH|Exercise EXAMPLES|18 Videos

  • DIFFERENTIAL EQUATIONS

    CENGAGE ENGLISH|Exercise CONCEPT APPLICATION EXERCISES 10.1|6 Videos

  • DIFFERENT PRODUCTS OF VECTORS AND THEIR GEOMETRICAL APPLICATIONS

    CENGAGE ENGLISH|Exercise Multiple correct answers type|11 Videos

  • DIFFERENTIATION

    CENGAGE ENGLISH|Exercise Archives|14 Videos

Similar Questions

Explore conceptually related problems

Form the differential equation of family of circles having center at origin.

Find the differential equation of the family of lines passing through the origin.

Form the differential equation of the family of parabolas with focus at the origin and the axis of symmetry along the axis.

From the differential equation of the family of parabolas with focus at the origin and axis of symmetry along the x-axis. Find the order and degree of the differential equation.

Form the differential equation of family of lines situated at a constant distance p from the origin.

Form the differential equation of all concentric circles at the origin.

Form a differential equation of the family of the curves y^2 =4ax .

Form a differential equation of the family of the curves y^(2)=4ax

Form the differential equation of all circle touching the x-axis at the origin and centre on the y-axis.

Form the differential equation of all circle touching the x-axis at the origin and centre on the y-axis.