Home
Class 12
MATHS
From a differential equation representin...

From a differential equation representing the given family of curves by eliminating the arbitrary constains a and b
x/a + y/b = 1

Text Solution

Verified by Experts

Given equation is x/a + y/b = 1......(i),
Differentiating (1), w.r.t. x we have `1/a + 1/b(dy)/(dx) = 0..(2)
Differentiating (2) , w.r.t. x we have `1/b (d^2y)/(dx^2) = 0 `
`rArr (d^2y)/(dx^2) = 0`, which is the required differential equation.
Promotional Banner

Topper's Solved these Questions

  • DETERMINANTS

    A N EXCEL PUBLICATION|Exercise QUESTION TYPE|83 Videos

  • INTEGRALS

    A N EXCEL PUBLICATION|Exercise QUESTION BANK|291 Videos

Similar Questions

Explore conceptually related problems

Form a differential equation representing the given family of curves y=Ae^(2x)+Be^(-2x)

From the differential equation representing the family of curves y=asin(x+b) ,where a and b are arbitrary constants.

Form the differential equation representing the family of curve given by (x-a)^2+2y^2=a^2 ,a is a arbitrary constants.

Form the differential equation corresponding to the curve y=mx

The differential equation representing the family of curves y^(2) = a(ax + b) , where a and b are arbitrary constants, is of

Find the Differential equation satisfying the family of curves y^2=a(b^2-x^2) ,a and b are arbitrary constants.

The differential equation representing the family of curves given by y=ae^(-3x)+b , where a and b are arbitrary constants, is a) (d^(2)y)/(dx^(2))+3(dy)/(dx)-2y=0 b) (d^(2)y)/(dx^(2))-3(dy)/(dx)=0 c) (d^(2)y)/(dx^(2))-3(dy)/(dx)-2y=0 d) (d^(2)y)/(dx^(2))+3(dy)/(dx)=0

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 satisfying the family of curves y=ae^(3x)+be^(-2x) ,a and b are arbitrary constants.

A N EXCEL PUBLICATION-DIFFERENTIAL EQUATIONS-QUESTION BANK
  1. Form the DE of the family of circles touching the x-axix at origin.

    Text Solution

    |

  2. Form the DE representing the family of parabolas having vertex at or...

    Text Solution

    |

  3. From a differential equation representing the given family of curves b...

    Text Solution

    |

  4. Find the Differential equation satisfying the family of curves y^2=...

    Text Solution

    |

  5. Find the Differential equation satisfying the family of curves y=ae^...

    Text Solution

    |

  6. Find the differential equation satisfying y=e^(2x)(a+bx),a and b are a...

    Text Solution

    |

  7. Find the differential equation satisfying y=e^x(acosx+bsinx),a and b a...

    Text Solution

    |

  8. Form the differential equation of the family of all circles touching t...

    Text Solution

    |

  9. Form the differential equation of the family of parabolas having verte...

    Text Solution

    |

  10. Form the differential equation of the family of ellipses having foci o...

    Text Solution

    |

  11. Form the differential equation of the family of hyperbolas having foci...

    Text Solution

    |

  12. Form a differential equation of the family of circles having centre ...

    Text Solution

    |

  13. Choose the correct answer . Which of the following differential equati...

    Text Solution

    |

  14. Choose the correct answer . Which of the following differential equati...

    Text Solution

    |

  15. Find the general solution of the differential equation (dy)/(dx) = (x+...

    Text Solution

    |

  16. Find the general solution of the differential equation (dy)/(dx) = (1+...

    Text Solution

    |

  17. Find the general solution of the following differential equations (d...

    Text Solution

    |

  18. Find the general solution of the following differential equations (d...

    Text Solution

    |

  19. Find the general solution of the following differential equations (d...

    Text Solution

    |

  20. Find the general solution of the differential equation sec^2xtan ydx...

    Text Solution

    |