Home
Class 12
MATHS
The differential equation by eliminating...

The differential equation by eliminating A, B from `y = 5e^(5x)(Ax+B)` is

A

`(d^(2)y)/(dx^(2)) + 10(dy)/(dx) + 25y = 0`

B

`(d^(2)y)/(dx^(2)) - 10(dy)/(dx) + 25y = 0`

C

`(d^(2)y)/(dx^(2)) + 10(dy)/(dx) - 25y = 0`

D

`(d^(2)y)/(dx^(2)) - 10(dy)/(dx) - 25y = 0`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIAL EQUATIONS

    AAKASH SERIES|Exercise Exercise - II|105 Videos

  • DIFFERENTIAL EQUATIONS

    AAKASH SERIES|Exercise Practice Exercise|62 Videos

  • DIFFERENTIAL EQUATIONS

    AAKASH SERIES|Exercise Additional Exercise|12 Videos

  • DEMOIVRE'S THEOREM

    AAKASH SERIES|Exercise PRACTICE EXERCISE|64 Videos

  • ELLIPSE

    AAKASH SERIES|Exercise PRACTICE EXERCISE|65 Videos

Similar Questions

Explore conceptually related problems

The differential equation by eliminating A, B from y = e^(2x) = (A cos 3x + B sin 3x) is

The differential equation by eliminating A, B from y = e^(3x)(A+Bx + Cx^(2)) is

The differential equation by eliminating A, B, C from y = Ae^(2x) + Be^(3x) + Ce^(-2x) is

The differential equation by eliminating A & B from y = A x^(3) + B x^(2) is

The differential equation by eliminating A and B from y = Ae^(3x) + Be^(2x) is

The differential equation by eliminating a, b from (x-a)^(2) + (y-b)^(2) = r^(2) is

Form the differential equation by eliminating a,b from (x-a)^(2) + (y -b)^(2) = r^(2)

AAKASH SERIES-DIFFERENTIAL EQUATIONS-Exercise - I
  1. The differential equation by eliminating A and B from y = Ae^(3x) + Be...

    Text Solution

    |

  2. The differential equationby eliminating arbitrary constants from the e...

    Text Solution

    |

  3. The differential equation by eliminating A, B from y = 5e^(5x)(Ax+B) i...

    Text Solution

    |

  4. The differential equation by eliminating A, B from y = e^(2x) = (A cos...

    Text Solution

    |

  5. The differential equation by eliminating A, B, C from y = Ae^(2x) + Be...

    Text Solution

    |

  6. y=Ae^(x)+Be^(2x)+Ce^(3x) satisfies the differential equation

    Text Solution

    |

  7. The differential equation by eliminating A, B from y = e^(3x)(A+Bx + C...

    Text Solution

    |

  8. Form the differential equation by eliminating the arbitrary constant f...

    Text Solution

    |

  9. The differential equation of the family of parabolas having vertices a...

    Text Solution

    |

  10. Form the differential equation from ax^(2) + by^(2) = 1

    Text Solution

    |

  11. The differential equation of family of circles of fixed radius 5 units...

    Text Solution

    |

  12. Form the differential equation by eliminating the arbitrary constant f...

    Text Solution

    |

  13. dx + dy = (x + y) (dx -dy) rArr log (x + y) =

    Text Solution

    |

  14. The solution of the equation (dy)/(dx) = e^(-2x) is

    Text Solution

    |

  15. The solution of the cosec^(2x)(dy)/(dx) - (1)/(y) = 0 is

    Text Solution

    |

  16. The solution of (dy)/(dx) = ((y)/(x))^(1//3) is

    Text Solution

    |

  17. The solution of sqrt(1 + x^(2)) dx + sqrt(1 + y^(2)) dy = 0 is

    Text Solution

    |

  18. The solution of x^(2) (dy)/(dx) = sqrt(4 - y^(2)) is

    Text Solution

    |

  19. The solution of 3e^(x) cos^(2) ydx+(1-e^(x)) cot y dy = 0 is

    Text Solution

    |

  20. A particle moves in a line with velocity given by (ds)/(d t) = s+1. Th...

    Text Solution

    |