Home
Class 12
MATHS
Consider the following in respect of the...

Consider the following in respect of the differential equation :
` (d^(2)y)/(dx^(2))+2 ((dy)/(dx))^(2) +9y =x`
1. The degree of yhe differential equation is 1.
2. The order of the differential equation is 2.
which of the above satatements is/are correct ?

A

1 only

B

2 only

C

Both 1 and 2

D

Neither 1 nor 2

Text Solution

Verified by Experts

The correct Answer is:
C

` (d^(2)y)/(dx^(2))+2 ((dy)/(dx))^(2) + 9y =x`
order= 2
Degree =1
Promotional Banner

Topper's Solved these Questions

  • DERIVATIVES

    NDA PREVIOUS YEARS|Exercise MCQs|94 Videos
  • FUNCTIONS, LIMIT, CONTINUITY AND DIFFERENTIABILITY

    NDA PREVIOUS YEARS|Exercise MCQs|232 Videos

Similar Questions

Explore conceptually related problems

Consider the following in respect of the differential equation (d^(2)y)/(dx^(2)) + 2 ((dy)/(dx)) + 9y = x 1. degree of the differential equation is 1 2. order of the differential equation is 2 Which of the above statement is/are correct ?

Consider the following statements in respect of the differential equation (d^(2)y)/(dx^(2)) + cos ((dy)/(dx))=0 1. The degree of the differential equation is not defined. 2. The order of the differential equation is 2.

Consider the following statements in respect of the differential equation (d^(2) y)/(dx^(2)) + cos ((dy)/(dx)) = 0 I . The degree of the differential equation is not defined . II . The order of the differential equation is 2l Which of the above statement is/are correct ?

The order of the differential equation ((d^(2)y)/(dx^(2)))^(3)=(1+(dy)/(dx))^(1//2)

Find the order and degree of the differential equation . (d^(2)y)/(dx)^(2)+x((dy)/(dx))^(3)-1=0

Order and degree of the differential equation (d^(2)y)/(dx^(2))+2(dy)/(dx) + sin y = 0 are

The degree of the differential equation (d^2y)/(dx^2)+((dy)/(dx))^2+6y^5=0 is

(d^(2)y)/(dx^(2))+(1)/(((dy)/(dx))^(2))=y . Find order and degree of differential equation.

The order and degree of the differential equation (d^(2)y)/(dx^(2))=sqrt(1+((dy)/(dx))^(3)) , is

NDA PREVIOUS YEARS-DIFFERENTIAL EQUATION-MCQs
  1. The order and degree of the differential equation [1 + ((dy)/(dx))^(...

    Text Solution

    |

  2. The differential equation of minimum order by eliminting the arbitral...

    Text Solution

    |

  3. The solution of the differential (dy)/(dx) = (y phi '(x) -y^(2))/(ph...

    Text Solution

    |

  4. Solution of the differential equation xdy-ydx=0 represents

    Text Solution

    |

  5. Which one of the following differential equations has a periodic solut...

    Text Solution

    |

  6. The order and degrree of the differential equation y^(2) =4a (x-a) , ...

    Text Solution

    |

  7. what is the solution of (1 +2x) dy-(1 -2y) dx=0 ?

    Text Solution

    |

  8. what are the order and degree, respectively , of the differential equa...

    Text Solution

    |

  9. The differential equation of the family of cruves y = p cos (ax) + q s...

    Text Solution

    |

  10. The equation of the curve passing through the point (-1,-2) which sati...

    Text Solution

    |

  11. what is the order of the differential equation whpse solution is y = ...

    Text Solution

    |

  12. what is the solution of the differential equationln ((dy)/(dx)) =ax +b...

    Text Solution

    |

  13. If u = e^(ax) sin bx and v = e^(ax)cos bx, then what is

    Text Solution

    |

  14. If y = sin (In x), then which one of thefollowing is correct?

    Text Solution

    |

  15. what is the solution of the differential equation (dx)/(dy) = ( x +y+...

    Text Solution

    |

  16. The solution of the differential equation (dy)/(dx) = cos (y -x) +1...

    Text Solution

    |

  17. If y= a cos 2x + b sin 2x , then

    Text Solution

    |

  18. The differential equation of the system of circles touching the y-axis...

    Text Solution

    |

  19. Consider the following in respect of the differential equation : (d...

    Text Solution

    |

  20. what is the general solution of th differential equation (dy)/(dx) ...

    Text Solution

    |