Home
Class 12
MATHS
From the differential equation correspon...

From the differential equation corresponding to
` y^(2) a (b-x) (b + x) ` by eliminating the parameters a and b .

Text Solution

Verified by Experts

The correct Answer is:
` xy(d^(2)y)/(dx^(2)) + x ((dy)/(dx))^(2) + y(dy)/(dx) `,
which is the required differential equation corresponding corresponding to family of curves (1).
Promotional Banner

Topper's Solved these Questions

  • ORDER AND DEGREE OF DIFFERENTIAL EQUATION

    CHHAYA PUBLICATION|Exercise EXERCISE (MCQ)|7 Videos
  • ORDER AND DEGREE OF DIFFERENTIAL EQUATION

    CHHAYA PUBLICATION|Exercise EXERCISE (Very Short Answer Type Questions )|9 Videos
  • MISCELLANEOUS EXAMPLES

    CHHAYA PUBLICATION|Exercise WBJEE 2026|23 Videos
  • PARABOLA

    CHHAYA PUBLICATION|Exercise Sample Questions for Competitive Exams ( E Assertion -Reason Type )|2 Videos

Similar Questions

Explore conceptually related problems

From the differential equation corresponding to y^(2) - 2ay + x^(2) = a^(2) by eliminating a.

From the differential equation representing the family of curves y = A cos (x + b) , where A and B are parameters .

In each of the Exercises 1 to 5, form a differential equation representing the given family of curves by eliminating arbitrary constants a and b. 1. (x)/(a) + (y)/(b) = 1

From the differential equation of the family of ellipses (x^(2))/(a^(2)) + (y^(2))/(b^(2)) = 1 by eliminating arbitrary constants a and b.

Find the differential equation of the curves given by y=Ae^(2x)+Be^(-2x) , where A and B are parameters.

Find the differential equation of the curves given by y = Ae^(2x)+Be^(-2x) where A and B are parameters.

Find the differential equation of the family of circles x^(2) + y^(2) = 2ax , where a is a parameter .

Form the differential equation of the family of hyperbolas b^(2) x^(2) - a^(2) y^(2) = a^(2) b^(2) by eliminating constants a and b .

Find the differential equation of the family of circles x^(2) + y^(2) = 2ay , where a is a parameter .

Show that the differential equation (dy)/(dx) = y is formed by eliminating a and b from the relation y = ae^(b + x) .