Home
Class 12
MATHS
The differential equation satistied by t...

The differential equation satistied by the family of curves `y-axcos(1/x+b)`, where a,b are parameters, is

A

`x^(2)(d^(2)y)/(dx^(2))+y=0`

B

`x^(4)(d^(2)y)/(dx^(2))+y=0`

C

`x^(2)(d^(2)y)/(dx^(2))-y=0`

D

`x^(4)(d^(2)y)/(dx^(2))-y=0`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • DEFINITE INTEGRAL

    NIKITA PUBLICATION|Exercise MULTIPLE CHOICE QUESTIONS|243 Videos

  • DIFFERENTIATION

    NIKITA PUBLICATION|Exercise MCQ|559 Videos

Similar Questions

Explore conceptually related problems

Find the order of the differential equation of the family of curves. y=asinx+bcos(x+c) , where a,b,c are parameters.

The differential equation of the family of curves y=a cos (x + b) is

Find the differential equation of the family of curves y=asin(bx+c) , where a,b,c are parameters.

Form the differential equation representing the family of curves y=A cos(x+B) where AS and B are parameters.

Find the differential equation of the family of curves y=Acosx+Bsinx , where A, B are parameters.

From the differential equation of the family of curves, y=a sin(bx+c), where a and c are parameters.

The differential equation of the family of curves y^(2)=4xa(x+1) , is

From the differential equation for the family of the curves (y-b)^(2)=4(x-a), where a and b are parameters.

Form the differential equation representing the family of curves y = a sin x + b cos x , where a, b are the arbitrary constants.

NIKITA PUBLICATION-Differential Equation-MULTIPLE CHOICE QUESTION
  1. The differential equation for y=Ae^(3x)+Be^(2x) is

    Text Solution

    |

  2. If y=e^(ax)sinbx, then (d^(2)y)/(dx^(2))-2a(dy)/(dx)+a^(2)y=

    Text Solution

    |

  3. The differential equation satistied by the family of curves y-axcos(1/...

    Text Solution

    |

  4. The differential equation for y=a sin (5x+c) is

    Text Solution

    |

  5. The differential equation for y=c(1)sinx+c(2)cosx is

    Text Solution

    |

  6. Obtion the differential equation by elininating arbitrary constants A,...

    Text Solution

    |

  7. The differential equation for y=e^(x)(acosx+bsinx) is

    Text Solution

    |

  8. xy=logy+c is a solution of the differential equation

    Text Solution

    |

  9. y=x^(m) is a solution of the differential equation

    Text Solution

    |

  10. y secx=tan x+c is a solution of the differential equation

    Text Solution

    |

  11. y=(sin^(-1)x)^(2)+c is a solution of the differential equation

    Text Solution

    |

  12. Verify the solution problems: Show that y = e^-x + ax +b is solution o...

    Text Solution

    |

  13. y=logx+c is a solution of the differential equation

    Text Solution

    |

  14. Solution of the differtial equation y-x(dy)/(dx)=0 is

    Text Solution

    |

  15. The solution of the differential equationn (d theta)/(dt)=-k(theta-the...

    Text Solution

    |

  16. Solution of the differential equation (dy)/(dx)=(y(1+x))/(x(y-1)) is

    Text Solution

    |

  17. Solution of the differential equation (dy)/(dx)=x^(2)y+y is

    Text Solution

    |

  18. Solution of the differential equation (dy)/(dx)=(1+y^(2))/(1+x^(2)) is

    Text Solution

    |

  19. The solution of the differential equation (1-x^2)(1-y)dx=x y(1+y)dy ...

    Text Solution

    |

  20. Find the general solution of each of the following differential equat...

    Text Solution

    |