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:
`y'= (2y^(2) - x^(2))/(4xy)`
Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIAL EQUATIONS

    NCERT TAMIL|Exercise EXERCISE - 9.6|19 Videos

  • DETERMINANTS

    NCERT TAMIL|Exercise Miscellaneous Exercises on Chapter 4|19 Videos

  • DIFFERENTIALS AND PARTIAL DERIVATIVES

    NCERT TAMIL|Exercise EXERCISE 8.8|15 Videos

Similar Questions

Explore conceptually related problems

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

The differential equation for the family of curves y = c\ sinx can be given by

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

From the differential equation representing the family of curves y=nx, where n is an arbitrary constant.

The differential equation representing the family of curve y = A sin ( x+ B) where A and B are parametres is :

The differential equaiotn which represents the family of curves y=C_(1)e^(C_(2)x) , where C_(1) and C_(2) are arbitrary constants, is

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

NCERT TAMIL-DIFFERENTIAL EQUATIONS-MISCELLANEOUS EXERCISE
  1. For each of the differential equations given below, indicate its order...

    Text Solution

    |

  2. For each of the exercises given below, verify that the given function...

    Text Solution

    |

  3. Form the differential equation representing the family of curves give...

    Text Solution

    |

  4. Prove that x^(2)-y^(2)=c(x^(2)+y^(2))^(2) is the general solution of d...

    Text Solution

    |

  5. Form the differential equation of the family of circles in the first q...

    Text Solution

    |

  6. Find the general solution of the differential equation (dy)/(dx)+sqrt(...

    Text Solution

    |

  7. Show that the general solution of the differential equation (dy)/(dx) ...

    Text Solution

    |

  8. Find the equation of the curve passing through the point (0, (pi)/(4))...

    Text Solution

    |

  9. Find the particular solution of the differential equation (1+e^(2x)...

    Text Solution

    |

  10. Solve the differential equation y e^(x)/(y) dx = (x e^(x)/(y) + y^(2))...

    Text Solution

    |

  11. Find a particular solution of the differential equation (x-y)(dx+dy)=d...

    Text Solution

    |

  12. Solve the differential equation [(e^(-2sqrtx))/(sqrtx) - (y)/(sqrtx)](...

    Text Solution

    |

  13. Find a particular solution of the differential equation (dy)/(dx)+ycot...

    Text Solution

    |

  14. Find a particular solution of the differential equation (x+1)(dy)/(dx)...

    Text Solution

    |

  15. The population of a village increases continuously at the rate proport...

    Text Solution

    |

  16. The general solution of the differential equation (y dx - x dy)/(y ) =...

    Text Solution

    |

  17. The general solution of a differential equation of the type (dy)/(dx)...

    Text Solution

    |

  18. The general solution of the differential equation e^(x) dy + (y e^(x) ...

    Text Solution

    |