Home
Class 12
MATHS
The number of arbitrary constant in the...

The number of arbitrary constant in the particular solution of a differential equation of order 2 is :

A

0

B

1

C

2

D

`-1`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • ORDINARY DIFFERENTIAL EQUATIONS

    PREMIERS PUBLISHERS|Exercise PROBLEMS FOR PRACTICE (ANSWER THE FOLLOWING QUESTIONS )|22 Videos

  • ORDINARY DIFFERENTIAL EQUATIONS

    PREMIERS PUBLISHERS|Exercise SOLUTION TO EXERCISE 10.9|25 Videos

  • MODEL QUESTION PAPER -1

    PREMIERS PUBLISHERS|Exercise Part -IV|20 Videos

  • PROBABILITY DISTRIBUTIONS

    PREMIERS PUBLISHERS|Exercise PROBLEMS FOR PRACTICE|40 Videos

Similar Questions

Explore conceptually related problems

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

The number of arbitrary constants in the particular solution of a defferential equation of third order are

The number of arbitrary constants in the general solution of a defferential equation of order 4 is

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

A solution of the differential equation y'=y is

y = ce^(kx) is the solution of the differential equation :

Statement 1 : Order of a differential equation represents the number of arbitrary constants in the general solution. Statement 2 : Degree of a differential equation represents the number of family of curves.

The solution of the differential equation (dy)/(dx)=2xy is

PREMIERS PUBLISHERS-ORDINARY DIFFERENTIAL EQUATIONS -PROBLEMS FOR PRACTICE (Choose the Correct Answer)
  1. The order and degree of the differential equation y'' (y - (y')^(3))...

    Text Solution

    |

  2. The degree of the differential equation rho= (1+((dy)/(dx))^(2))^(3/2...

    Text Solution

    |

  3. The order and degree of the differential equation ((dy)/(dx))^(2) = ...

    Text Solution

    |

  4. The solution of the equation (dx)/(dy) + Px = Q where P and Q are func...

    Text Solution

    |

  5. The degree of the differential equation (d^(2)y)/(dx^(2)) x = sqrt(y +...

    Text Solution

    |

  6. If y^(2) = 4ax where a is constant then the differential equation for...

    Text Solution

    |

  7. The differential equation formed if y = (A - Bx ) e^(-2x) is :

    Text Solution

    |

  8. The differential equation that will represent the family of all circle...

    Text Solution

    |

  9. Solve (x^(2)-y) dx+(y^(2)-x)dy=0 , if it passes through origin :

    Text Solution

    |

  10. The differential equation representing the family of curve y = A sin ...

    Text Solution

    |

  11. The order and degree of the differential equation sin^(3)x (dx + dy)...

    Text Solution

    |

  12. The general solution of (dy)/(dx) + y/x = 0 is :

    Text Solution

    |

  13. If I.F of (dy)/(dx) +P(x)y = Q (x) is cos^(2)x then P (x) =

    Text Solution

    |

  14. The solution of (dy)/(dx)+1/(x^(2)+1)= 0 is

    Text Solution

    |

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

    Text Solution

    |

  16. If sin^(3)x is the integrating factor of the differential equation (dy...

    Text Solution

    |

  17. The number of arbitrary constant in the particular solution of a diff...

    Text Solution

    |

  18. The slope at any point of the curve y = f(x) is given by (dy)/(dx)= 2x...

    Text Solution

    |

  19. The degree of the differential equation ((d^(2)y)/(dx^(2)))^(2) = sqrt...

    Text Solution

    |

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

    Text Solution

    |