Home
Class 12
MATHS
Find the differential equation of the fa...

Find the differential equation of the family of curves `y=A e^(2x)+B e^(-2x)` , where A and B are arbitrary constants.

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIABILITY

    RD SHARMA ENGLISH|Exercise All Questions|135 Videos

  • DIFFERENTIALS, ERRORS AND APPROXIMATIONS

    RD SHARMA ENGLISH|Exercise All Questions|107 Videos

Similar Questions

Explore conceptually related problems

Find the differential equation of the family of curves y=Ae^x+Be^-x , where A and B are arbitrary constants.

The differential equation of the family of curves y=e^x(Acosx+Bsinx), where A and B are arbitrary constants is

Form the differential equation of family of curves y = ae^(2x) + be^(3x) , where a, b are arbitrary constants.

Obtain the differential equation of the family of curves represented by y=Ae^x+Be^-x+x^2 , where A and B are arbitrary constants.

Find the differential equation of the family of curves, x=A\ cos n t+Bsinn t , where A and B are arbitrary constants.

Find the differential equation representing the family of curves y=ae^(bx+5) , where a and b are arbitrary constants.

The differential equation of the family of curves y=e^(2x)(a cos x+b sin x) where, a and b are arbitrary constants, is given by

The differential equation of family of curves of y^(2)=4a(x+a) is

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

The differential equation satisfying all the curves y = ae^(2x) + be^(-3x) , where a and b are arbitrary constants, is

RD SHARMA ENGLISH-DIFFERENTIAL EQUATION-All Questions
  1. Form the differential equation from the following primitive where co...

    Text Solution

    |

  2. Form the differential equation from the following primitives where ...

    Text Solution

    |

  3. Find the differential equation of the family of curves y=A e^(2x)+B...

    Text Solution

    |

  4. Find the differential equation of the family of curves, x=A\ cos n ...

    Text Solution

    |

  5. Form the differential equation corresponding to y^2=a(b-x)(b+x) by eli...

    Text Solution

    |

  6. Form the differential equation corresponding to (x-a)^2+(y-b)^2=r^2 by...

    Text Solution

    |

  7. From the dffential equation of all circles pass thrrough origin and wh...

    Text Solution

    |

  8. Find the differential equation of all the circles which pass thorou...

    Text Solution

    |

  9. Assume that a rain drop evaporates at a rate proportional to its su...

    Text Solution

    |

  10. Find the differential equation of all the parabolas with latus rectum ...

    Text Solution

    |

  11. Form the differential equation of the family of curves represented by ...

    Text Solution

    |

  12. Represent the following families of curves by forming the correspond...

    Text Solution

    |

  13. Represent the following families of curves by forming the correspondin...

    Text Solution

    |

  14. Represent the following families of curves by forming the correspondin...

    Text Solution

    |

  15. Represent the following families of curves by forming the correspondin...

    Text Solution

    |

  16. Represent the following families of curves by forming the correspond...

    Text Solution

    |

  17. Represent the following families of curves by forming the correspon...

    Text Solution

    |

  18. Form the differential equation representing the family of ellipses ...

    Text Solution

    |

  19. Form the differential equation of the family of hyperbolas having f...

    Text Solution

    |

  20. Form the differential equation of the family of circles in the seco...

    Text Solution

    |