Home
Class 12
MATHS
Form the differential equation represent...

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

Text Solution

Verified by Experts

The correct Answer is:
`(dy)/(dx) =(2y^(2) - x^(2))/(4xy)`
Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIAL EQUATIONS

    OMEGA PUBLICATION|Exercise MULTIPLE CHOICE QUESTIONS (MCQs) |44 Videos

  • DIFFERENTIAL EQUATIONS

    OMEGA PUBLICATION|Exercise MULTIPLE CHOICE QUESTIONS (MCQs) |44 Videos

  • DETERMINANTS

    OMEGA PUBLICATION|Exercise Multiple Choice Questions (MCQs)|20 Videos

  • HP BOARD MARCH 2017

    OMEGA PUBLICATION|Exercise SERIES -C|78 Videos

Similar Questions

Explore conceptually related problems

Form the differential equation representi.ng the family of curves y = a sin (x + b) , where a and b are arbitrary constants

y^2-2ay+x^2=a^2 , a is an arbitrary constant.

Differential equation representing the curve : y=cos x is :

Differential equation representing the curve : y=sin x is :

Find the differential equation of the family of curves ( x- a)^2 + ( y - b)^2 = r^2 , where a and b are arbitrary constants.

Differential equation representing the curve : y=-sin x is :

The differential equation corresponding to the family of curves y=e^x (ax+ b) is

Form the differential equation representing the family of curve y=asin(x+b) , where a and b are artibrary constants.

Form the differential equation representing the family of curves x/a+y/b=1 where a and b are arbitrary constants.

Form the differential equation representing the family of curves y = mx , where, m is arbitrary constant.

OMEGA PUBLICATION-DIFFERENTIAL EQUATIONS-IMPORTANT QUESTIONS FROM MISCELLANEOUS EXERCISE
  1. For each of the following, indicate their order and degree. (d^(2)y)...

    Text Solution

    |

  2. For the differential equation given below, indicate its order and degr...

    Text Solution

    |

  3. For the differential equation given below, indicate its order and degr...

    Text Solution

    |

  4. Form the differential equation representing the family of curves given...

    Text Solution

    |

  5. Solve the following differential equations x (dy)/(dx) - y + x sin (...

    Text Solution

    |

  6. Solve y'e^(x//y) dx =(x.e^(x//y) + y^(2)) dy, y ne 0

    Text Solution

    |

  7. Solve the following differential equation : (3xy + y^(2)) dx -(x^(2)...

    Text Solution

    |

  8. Solve the differential equation: [e^(-2sqrt(x))/sqrt(x) -y/sqrt(x)](...

    Text Solution

    |

  9. Solve the following differential equation: x(dy)/(dx) = y- x tan(y/x...

    Text Solution

    |

  10. Solve the following differential equation: (dy)/(dx) -y = cos x

    Text Solution

    |

  11. For each of the following, indicate their order and degree. (d^(2)y)...

    Text Solution

    |

  12. For the differential equation given below, indicate its order and degr...

    Text Solution

    |

  13. For the differential equation given below, indicate its order and degr...

    Text Solution

    |

  14. Form the differential equation representing the family of curves given...

    Text Solution

    |

  15. Solve the differential equation : x(dy)/(dx) - y + x sin (y/x) =0

    Text Solution

    |

  16. Solve y'e^(x//y) dx =(x.e^(x//y) + y^(2)) dy, y ne 0

    Text Solution

    |

  17. Solve the following differential equation : (3xy + y^(2)) dx -(x^(2)...

    Text Solution

    |

  18. Solve the differential equation: [e^(-2sqrt(x))/sqrt(x) -y/sqrt(x)](...

    Text Solution

    |

  19. Solve the following differential equation: x(dy)/(dx) = y- x tan(y/x...

    Text Solution

    |

  20. Solve the following differential equation: (dy)/(dx) -y = cos x

    Text Solution

    |