Home
Class 12
MATHS
Obtain the differential equation which ...

Obtain the differential equation which corresponds to each of the following family of curves.
The rectangular hyperbolas which have the co-ordinate axes as asymptotes.

Text Solution

Verified by Experts

The correct Answer is:
`x (dy)/(dx)+y=0`
Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIAL EQUATIONS

    VIKRAM PUBLICATION ( ANDHRA PUBLICATION)|Exercise EXERCISE- 8(b)|17 Videos

  • DIFFERENTIAL EQUATIONS

    VIKRAM PUBLICATION ( ANDHRA PUBLICATION)|Exercise EXERCISE- 8(c)|23 Videos

  • DIFFERENTIAL EQUATIONS

    VIKRAM PUBLICATION ( ANDHRA PUBLICATION)|Exercise EXERCISE- 8(e)|25 Videos

  • DEFINITE INTEGRALS

    VIKRAM PUBLICATION ( ANDHRA PUBLICATION)|Exercise Long Answer Question|3 Videos

  • ELLIPSE

    VIKRAM PUBLICATION ( ANDHRA PUBLICATION)|Exercise EXERCISE 4(B)|15 Videos

Similar Questions

Explore conceptually related problems

Obtain the differential equation which corresponds to each of the following family of curves. The circles which touch the Y - axis at the origin.

Obtain the differential equation which corresponds to each of the following family of curves. The ellipses with centress at the origin and having co-ordinate axes as axes

Obtain the differential equation which corresponds to each of the following family of curves. The parabolas having their foci at the origin and axis along the X - axis .

Obtain the differential equation which corresponds to each of the following family of curves. The parabolas each of which has a latus rectum 4a and whose axes are parallel to X-axis .

Assertion (A) : The differential equaiton of the family of rectangular hyperbolas which have the coordinate axes as asymptotes is xy_(1) + y = 0 Reason (R) : The number of arbitrary constants in the general solution of differential equation is equal to the order of the differential equation. Then the statement among the following is

The differential equation corresponding to the family of curves given by y = a + be^(2x) + ce^(-3x) is

Form the differential equations of the following family of curves where parameters are given in brackets : y=ax^(2)+bx,(a, b)

Form the differential equations of the following family of curves where parameters are given in brackets : xy=ax^(2)+(b)/(x),(a, b)