Home
Class 12
MATHS
If xy=a^(2) where a is arbitrary consta...

If `xy=a^(2)` where a is arbitrary constant then :

A

`xy'' - x = 0`

B

`xy' + y = 0 `

C

` y '' x + 1 = 0 `

D

`y'' = 0 `

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • ORDINARY DIFFERENTIAL EQUATIONS

    PREMIERS PUBLISHERS|Exercise PROBLEMS FOR PRACTICE (ANSWER THE FOLLOWING QUESTIONS )|22 Videos

  • ORDINARY DIFFERENTIAL EQUATIONS

    PREMIERS PUBLISHERS|Exercise SOLUTION TO EXERCISE 10.9|25 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

On finding the differential equation corresponding to y=e^(mx) where m is the arbitrary constant, then m is _________.

Form the differential equation representing the family of curves given by (x - a)^(2) + 2y^(2) = a^(2) , where a is an arbitrary constant.

The differential equation corresponding to xy=c^(2) where c is an arbitrary constant is ________

If y=a+bx^(2) , where a, b are arbitrary constants, then

Find the differential equation of the family of curves represented by y^(2)-2ay+x^(2)=a^(2), where a is an arbitrary constant.

Form the differential equation representing the family of curves given by (x-a)^(2)+2y^(2)=a^(2), where a is an arbitrary constant.

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

Orthogonal trajectories of family of the curve x^(2/3)+y^(2/3)=a^((2/3)) , where a is any arbitrary constant, is

If y = ax^(2)+bx + c = 0 where a,b,c are arbitrary constants then the differential equation is :

PREMIERS PUBLISHERS-ORDINARY DIFFERENTIAL EQUATIONS -PROBLEMS FOR PRACTICE (Choose the Correct Answer)
  1. Which of the following is a solution of (d^(2)y)/(dx^(2))+ y = 0 :

    Text Solution

    |

  2. The differential equation formed by eliminating A and B for the relat...

    Text Solution

    |

  3. If xy=a^(2) where a is arbitrary constant then :

    Text Solution

    |

  4. The order and degree of the differential equation y'' (y - (y')^(3))...

    Text Solution

    |

  5. The degree of the differential equation rho= (1+((dy)/(dx))^(2))^(3/2...

    Text Solution

    |

  6. The order and degree of the differential equation ((dy)/(dx))^(2) = ...

    Text Solution

    |

  7. The solution of the equation (dx)/(dy) + Px = Q where P and Q are func...

    Text Solution

    |

  8. The degree of the differential equation (d^(2)y)/(dx^(2)) x = sqrt(y +...

    Text Solution

    |

  9. If y^(2) = 4ax where a is constant then the differential equation for...

    Text Solution

    |

  10. The differential equation formed if y = (A - Bx ) e^(-2x) is :

    Text Solution

    |

  11. The differential equation that will represent the family of all circle...

    Text Solution

    |

  12. Solve (x^(2)-y) dx+(y^(2)-x)dy=0 , if it passes through origin :

    Text Solution

    |

  13. The differential equation representing the family of curve y = A sin ...

    Text Solution

    |

  14. The order and degree of the differential equation sin^(3)x (dx + dy)...

    Text Solution

    |

  15. The general solution of (dy)/(dx) + y/x = 0 is :

    Text Solution

    |

  16. If I.F of (dy)/(dx) +P(x)y = Q (x) is cos^(2)x then P (x) =

    Text Solution

    |

  17. The solution of (dy)/(dx)+1/(x^(2)+1)= 0 is

    Text Solution

    |

  18. The solution of (dy)/(dx)=2^(y-x) is

    Text Solution

    |

  19. If sin^(3)x is the integrating factor of the differential equation (dy...

    Text Solution

    |

  20. The number of arbitrary constant in the particular solution of a diff...

    Text Solution

    |