Home
Class 12
MATHS
The order, degree of the differential eq...

The order, degree of the differential equation `x = 1 + ((dy)/(dx)) + (1)/(2!)((dy)/(dx))^(2) + (1)/(3!)((dy)/(dx))^(3) +`… is

A

3,1

B

4,2

C

1,1

D

not defined

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIAL EQUATIONS

    AAKASH SERIES|Exercise Practice Exercise|62 Videos
  • DIFFERENTIAL EQUATIONS

    AAKASH SERIES|Exercise Exercise - I|50 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 order and degree of the differential equation y = x(dy)/(dx)-sqrt(1+((dy)/(dx))^(2))

The order and degree of the differential equation y = ([5+((dy)/(dx))^(2)]^(4//3))/((d^(2)y)/(dx^(2))) is

The order and degree of the differential equation ((d^(2)y)/(dx^(2)) + ((dy)/(dx))^(3))^(6//5) = 6y is

The order and degree of the differential equation [((dy)/(dx))^(2) + ((d^(2)y)/(dx^(2)))]^(5//4) = k (d^(3) y)/(dx^(3)) is

The order of the differential equation ((dy)/(dx))^(3) + ((dy)/(dx))^(2) + y^(4) = 0 is

The order of the differential equation [2 + ((dy)/(dx))^(2)]^(-3//2) = a (d^(2)y)/(dx^(2) is

The degree of the differential equation (d^(2)y)/(dx^(2)) + 3((dy)/(dx))^(2) = x^(2) log((d^(2)y)/(dx^(2))) is

Solve the differential equation : (dy)/(dx)=(2y+x+1)/(2x+4y+3)

Degree and order of differential equation y = x(dy)/(dx) + msqrt(1+((dy)/(dx))^(2)) are

AAKASH SERIES-DIFFERENTIAL EQUATIONS-Exercise - II
  1. The order of the differential equation whose solution is given by y = ...

    Text Solution

    |

  2. The degree, order of the differential equation y(2)^(3//2) - y(1)^(1//...

    Text Solution

    |

  3. The order, degree of the differential equation x = 1 + ((dy)/(dx)) + (...

    Text Solution

    |

  4. The differential equation representing the family of curves y^(2) = 2c...

    Text Solution

    |

  5. The order and degree of the differential equation of all circles in th...

    Text Solution

    |

  6. The order, degree of the differential equation of all circles of radiu...

    Text Solution

    |

  7. The differential equation whose solution is Ax^(2) + By^(2) = 1, where...

    Text Solution

    |

  8. The differential equation of all non vertical lines in a plane is

    Text Solution

    |

  9. The differential equation of all non-horizontal lines in a plane is

    Text Solution

    |

  10. The subnormal at any point of a curve is of constant length '8'. Then ...

    Text Solution

    |

  11. The differential equation of the family of straight lines y = mx + a//...

    Text Solution

    |

  12. The differential equation of curve given by y = a cos ((n)/(x) + b) (a...

    Text Solution

    |

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

    Text Solution

    |

  14. The differential equation obtained by eliminating the arbitrary consta...

    Text Solution

    |

  15. The differential equation which represents the family of curves y = c(...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  18. The differential equation of the family y = ae^(x) + bx e^(x) + cx^(2)...

    Text Solution

    |

  19. The differential equation of family of curves x^(2) + y^(2) - 2ay = 0 ...

    Text Solution

    |

  20. The differential equation by eliminating a, b from (x-a)^(2) + (y-b)^(...

    Text Solution

    |