Home
Class 12
MATHS
The number of arbitrary constants in t...

The number of arbitrary constants in the general solution of a differential equation of fourth order are

A

zero

B

2

C

3

D

4

Text Solution

Verified by Experts

The correct Answer is:
d
We know that the number of arbitary constants in the general solution of a differential equation of order n is equal to its order . Therefore , the number of arbitrary constants in the general equation of fourth order differential equation is four .
Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIAL EQUATION

    MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS|Exercise PRACTICE EXERCISE (Exercise 2 )|114 Videos

  • DIFFERENTIAL EQUATION

    MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS|Exercise MHT CET Corner|27 Videos

  • DEFINITE INTEGRALS

    MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS|Exercise MHT CET Corner|22 Videos

  • DIFFERENTIATION

    MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS|Exercise MHT CET CORER|35 Videos

Similar Questions

Explore conceptually related problems

The numbers of arbitrary constants in the general solution of a differential equation of fourth order are :

The number of arbitrary constants in the general solution of a differential equationof fourth order are:(A) 0 (B) 2 (C) 3 (D) 4

The number of arbitrary constants in the general solution of a differential equation of order 5 are

The number of arbitrary constants in the particular solution of a differential equationof third order are:(A) 3 (B) 2 (C) 1 (D) 0

The numbers of arbitrary constants in the particular solution of a differential equation of third order are :

(i) The degree of the differential equation (d^(2)y)/(dx^(2))+e^(dy//dx)=0 is… (ii) The degree of the differential equation sqrt(1+((dy)/(dx))^(2))="x is"....... (iii) The number of arbitrary constant in the general solution of differential equation of order three is.. (iv) (dy)/(dx)+(y)/(x log x)=(1)/(x) is an equation of the type.... (v) General solution of the differential equation of the type is givven by... (vi) The solution of the differential (xdy)/(dx)+2y=x^(2) is.... (vii) The solution of (1+x^(2))(dy)/(dx)+2xy-4xy^(2)=0 is... (viii) The solution of the differential equation ydx+(x+y)dy=0 is .... (ix) Genergal solution of (dy)/dx)+y=sin x is.... (x) The solution of differential equation cot y dx=xdy is.... (xi) The integrating factor of (dy)/(dx)+y=(1+y)/(x) is.....

The number of arbitrary constants in the particular solution of differential equation of third order is

Assertion: The general solution of ( dy ) /( dx) + y =1 is y e^x = e ^(X)+C Reason: The number of arbitrary constant in the general solution of the differential equation is equal to the order of D.E.

Number of arbitrary constant in the general solution of a differential equation is equal to order of D.E.

What is the number of arbitrary constant in the particular solution of differential equation of third order ?

MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS-DIFFERENTIAL EQUATION-MHT CET Corner
  1. The number of arbitrary constants in the general solution of a diffe...

    Text Solution

    |

  2. Form the differential equation of the family of circles touching th...

    Text Solution

    |

  3. The degree and order of the differential equation [ 1+((dy)/(dx))^(3)]...

    Text Solution

    |

  4. The particular solution of the differential equation y (1+logx)(dx)/(...

    Text Solution

    |

  5. If sinx is the integrating facor (IF) of the linear differetnial eq...

    Text Solution

    |

  6. Degree and order of the differential equation (d^(2)y)/(dx^(2)) = ((dy...

    Text Solution

    |

  7. The order of the differential equation whose solution is ae^(x) + be^(...

    Text Solution

    |

  8. The order and degree of the differential equation (d^(2)y)/(dx^(2))=r...

    Text Solution

    |

  9. Write the order of the differential equation whose solution is y=ac...

    Text Solution

    |

  10. The solution of the differential equation (dx)/x +(dy)/y = 0 is

    Text Solution

    |

  11. The solution of the differential equation sec x dy - "cosec " y dx =...

    Text Solution

    |

  12. The differential equation obtained by eliminating a and b from y = ae^...

    Text Solution

    |

  13. If m and n are order and degree of the differential equation ((d^2y)/(...

    Text Solution

    |

  14. Find the differential equation of all the circles which pass throug...

    Text Solution

    |

  15. The integrating factor of the differential equation (dy)/(dx)(x(log)...

    Text Solution

    |

  16. The differential equation whose solution is (x-h)^2+ (y-k)^2=a^2 is (a...

    Text Solution

    |

  17. Find the differential equation of the family of circles whose centres ...

    Text Solution

    |

  18. The solution of the differential equation y (1 + log x) (dx)/(dy) - x ...

    Text Solution

    |

  19. General solution of the differential equation (dy)/(dx)=(x+y+1)/(x+y-...

    Text Solution

    |

  20. Form of the differential equation of all family of lines y=mx+(4)/(m) ...

    Text Solution

    |

  21. The differential equation of all parabolas whose axis are parallel t...

    Text Solution

    |