Home
Class 12
MATHS
Find the differential equation of the fa...

Find the differential equation of the family of all the parabolas with latus rectum 4a and whose axes are parallel to the x-axis.

Text Solution

Verified by Experts

The correct Answer is:
`y^(3)= y'' + y' y '' `
Promotional Banner

Topper's Solved these Questions

  • ORDINARY DIFFERENTIAL EQUATIONS

    PREMIERS PUBLISHERS|Exercise SOLUTION TO EXERCISE 10.4|10 Videos
  • ORDINARY DIFFERENTIAL EQUATIONS

    PREMIERS PUBLISHERS|Exercise SOLUTION TO EXERCISE 10.5|13 Videos
  • ORDINARY DIFFERENTIAL EQUATIONS

    PREMIERS PUBLISHERS|Exercise SOLUTION TO EXERCISE 10.2|5 Videos
  • MODEL QUESTION PAPER -1

    PREMIERS PUBLISHERS|Exercise Part -IV|20 Videos
  • PROBABILITY DISTRIBUTIONS

    PREMIERS PUBLISHERS|Exercise PROBLEMS FOR PRACTICE|40 Videos

Similar Questions

Explore conceptually related problems

The differential equation of the family of parabolas y^(2)=4ax is

The differential equation of all parabolas each of which has a latus rectum 4a and whose axes are parallel to the x-axis is (a) of order 1 and degree 2 (b) of order 2 and degree 3 (c) of order 2 and degree 1 (d) of order 2 and degree 2

Find the differential equation of the family of (i) all non- vertical lines in a plane

Find the differential equation of the family of parabolas with vertex at (0, -1) and having axis along the y-axis.

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

Find the differential equation of the family of curves Ax^(2)+By^(2)=1.

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.

Find the differential equation of the family of parabolas y^(2) = 4 ax where a is an arbitrary constant .