Home
Class 12
MATHS
Verify that the given function (explicit...

Verify that the given function (explicit or implicit) isa solution of the correseponding differential equation : `y = e^x + 1` : y'' - y' = 0

Text Solution

Verified by Experts

` y = e^x + 1`
`rArr y. = e^x`
`rArr y.. = e^x = y.`
`therefore y.. - y. = 0 `
Therefore, `y = e^x + 1` is a solution of y.. - y. = 0
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

Verify that the given function (explicit or implicit) is a solution of the correseponding differential equation : y = Ax : xy' = y( x ne 0)

Verify that the given function (explicit or implicit) isa solution of the correseponding differential equation : y = cos x + c : y' + sin x = 0

Verify that the given function (explicit or implicit) isa solution of the correseponding differential equation : y = x^2 + 2x +c :y' - 2x - 2 = 0

Verify that the given function (explicit or implicit) isa solution of the correseponding differential equation : y = sqrt(1 + x^2) : y' = (xy)/(1 + x^2)

Verify that the given function (explicit or implicit) is a solution of the correseponding differential equation : x + y = tan^-1 y : y^2 y' + y^2 + 1 = 0

Verify that the given function (explicit or implicit) is a solution of the correseponding differential equation : xy = log y + c : y'= y^2/(1-xy) (xy ne 1)

Verify that the given function (explicit or implicit) is a solution of the correseponding differential equation : y = x sin x : xy' = y+ xsqrt(x^2-y^2) (x ne 0 and x gt y or x lt -y)

Verify that the given function (explicit or implicit) is a solution of the correseponding differential equation : y- cos y = x : (y sin y + cos y + x) y' = y

Verify that the given function (explicit or implicit) is a solution of the correseponding differential equation : y = sqrt(a^2 - x^2), x in (-a,a) : x + y(dy)/(dx) = 0 (y ne 0)

Verify that the given function (explicit or implicit) is a solution of the corresponding differential equation y-cos y=x: (y sin y+cos y+x) y^'=y

A N EXCEL PUBLICATION-DIFFERENTIAL EQUATIONS-QUESTION BANK
  1. Check whether y=e^(-3x) is a solution of the differential equation fra...

    Text Solution

    |

  2. y=acosx+bsinx is the solution of the differential equation (d^2y)/...

    Text Solution

    |

  3. Verify that the given function (explicit or implicit) isa solution of ...

    Text Solution

    |

  4. Verify that the given function (explicit or implicit) isa solution of ...

    Text Solution

    |

  5. Verify that the given function (explicit or implicit) isa solution of ...

    Text Solution

    |

  6. Verify that the given function (explicit or implicit) isa solution of ...

    Text Solution

    |

  7. Verify that the given function (explicit or implicit) is a solution of...

    Text Solution

    |

  8. Verify that the given function (explicit or implicit) is a solution of...

    Text Solution

    |

  9. Verify that the given function (explicit or implicit) is a solution of...

    Text Solution

    |

  10. Verify that the given function (explicit or implicit) is a solution of...

    Text Solution

    |

  11. Verify that the given function (explicit or implicit) is a solution of...

    Text Solution

    |

  12. Verify that the given function (explicit or implicit) is a solution of...

    Text Solution

    |

  13. Choose the correct answer. The number of arbitrary constains in the ge...

    Text Solution

    |

  14. Choose the correct answer. The number of arbitrary constants in the pe...

    Text Solution

    |

  15. Form the differential equation corresponding to the curve y=mx

    Text Solution

    |

  16. From the differential equation of the family of curves represented by ...

    Text Solution

    |

  17. From the differential equation representing the family of curves y=a...

    Text Solution

    |

  18. Form the DE of the family of ellipse having foci on the x-axis and c...

    Text Solution

    |

  19. Form the DE of the family of circles touching the x-axix at origin.

    Text Solution

    |

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

    Text Solution

    |