Home
Class 12
MATHS
The differential equation obtained by el...

The differential equation obtained by eliminating arbitrary constants A and B from`y=A cos(log x)+B sin(log x) is

A

`x^2 d^2y/dx^2-x dy/dx+y=0`

B

`x^2 d^2y/dx^2+x dy/dx-y=0`

C

`x^2 d^2y/dx^2+x dy/dx+y=0`

D

`x^2 d^2y/dx^2-x dy/dx-y=0`

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • Definite integration

    CHETANA PUBLICATION|Exercise Exercise|111 Videos

  • Differentiation

    CHETANA PUBLICATION|Exercise Exercise|127 Videos

Similar Questions

Explore conceptually related problems

The differential equation obtained by eliminating arbitrary constants A and B from y=Ae^x+Be^-2 x is

Obtain the differential equation by eliminating arbitrary constants. y=a+a/x

Obtain the differential equation by eliminating arbitrary constants. Ax^2+By^2=1

Obtain the differential equation by eliminating arbitrary constants. y=A cos (log x)+Bsin(log x)

Form a differential equation by eliminating arbitrary constants A an B from xy=Ae^x+Be^-x+x^2

Obtain the differential equation by eliminating arbitrary constants. x^3+y^3=4ax

Obtain the differential equation by eliminating arbitrary constants. y^2=(x+c)^3

Obtain the differential equation by eliminating arbitrary constants.(y-a)^2 =4(x-b)

The differential equation, obtained on eliminating A and B from the equations y= A cos omega wt+ B sin omega t is

CHETANA PUBLICATION-DIFFERENTIAL EQUATIONS-EXERCISE
  1. The differential equation of x^2+y^2=2Ax is

    Text Solution

    |

  2. The differential equation obtained by eliminating arbitrary constants ...

    Text Solution

    |

  3. The differential equation obtained by eliminating arbitrary constants ...

    Text Solution

    |

  4. The standard substitution for solving any homogeneous differential equ...

    Text Solution

    |

  5. Solution of the differential equation dy/dx+(1+cos 2y)/(1-cos 2x)=0 is...

    Text Solution

    |

  6. The solution of the differential equation sec^2y tan x dy+sec^2x tan y...

    Text Solution

    |

  7. The substitution for solving the differential equation dy/dx-(y+sqrt(x...

    Text Solution

    |

  8. If the equation dy/dx=(x^3+3x^2y+y^n)/(xy^2) is a homogeneous differen...

    Text Solution

    |

  9. If dy/dx+1/x y=x^3-3 is a linear differential equation then e^(int Pdx...

    Text Solution

    |

  10. If cos^2 x dy/dx+y=tan x is a linear differential equation then e^(int...

    Text Solution

    |

  11. Solve the following differential equations.dr=a(r sin theta d theta-co...

    Text Solution

    |

  12. Which of the following differential equation is not a homogeneous diff...

    Text Solution

    |

  13. A cistern is being emptied in such a way that the rate at which water ...

    Text Solution

    |

  14. In a culture of yeast,the active ferment doubles itself in 3 hours.Ass...

    Text Solution

    |

  15. The order and degree of the differential equation (d^4y/dx^4)=[1+(dy/d...

    Text Solution

    |

  16. The differential equation y=c^2+c/x is

    Text Solution

    |

  17. x^2+y^2=r^2 is a solution of y=x dy/dx+r sqrt(1+(dy/dx)^2)

    Text Solution

    |

  18. Form a differential equation by eliminating arbitrary constants A an B...

    Text Solution

    |

  19. Form a differential equation by eliminating arbitrary constants A,B,C ...

    Text Solution

    |

  20. Find the particular solution of differential equation (x-y^2x)dx-(y+x...

    Text Solution

    |