Home
Class 12
MATHS
what is the degree of the differential e...

what is the degree of the differential equation
`(1+(dy)/(dx))^(4) = ((d^(2) y)/(dx^(2)))^(2)` ?

A

1

B

2

C

4

D

8

Text Solution

Verified by Experts

The correct Answer is:
B
The given differential equation is
` (1 + (dy)/(dx))^(4) = ((d^(2)y) /(dx^(2)))^(2)`
from above it is clear that degree of given differential equation is 2.
Because degree is the power of highest order derivative
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

The degree of the differential equation : (1+ (dy)/(dx))^(5)=((d^(2)y)/(dx^(2)))^(2) is :

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

Write the degree of the differential equation ((dy)/(dx))^(4)=3x(d^(2)y)/(dx^(2))=0

What is the degree of the differential equation (d^(2) y)/(dx^(2)) + 2 ((d^(2) y)/(dx^(2)))^(2) - (dy)/(dx) + y = 0

what is the degree of the differential equation (d^(3)y)/(dx^(3) +2 ((d^(2)y)/(dx^(2)))^(2) - (dy)/(dx) =y=0 ?

What is the degree of the differential equation [1 + ((dy)/(dx))^(2)]^(3//2) = k"" (d^(2) y)/(dx^(2)) ?

What is the degree of the differential equation [1+((dy)/(dx))^(2)]^(3//2) = k (d^(2)y)/(dx^(2))-k(d^(2)y)/(dx^(2)) ?

The degree of the differential equation [1 + ((dy)/(dx))^(2)]^(5//3) = (d^(2)y)/(dx^(2)) is

Write the sum of the order and degree of the differential equation 1+((dy)/(dx))^(4)=7((d^(2))/(dx^(2)))^(3)

NDA PREVIOUS YEARS-DIFFERENTIAL EQUATION-MCQs
  1. The growth of a quantity N(t) at any instant t is given by (dN(t))/(d...

    Text Solution

    |

  2. what is the solution of the differnetial equation a(x (dy)/(dx)+2y) ...

    Text Solution

    |

  3. what is the degree of the differential equation (1+(dy)/(dx))^(4) = ...

    Text Solution

    |

  4. what is the general solution of (1+e^(x)) y dy = e^(x) dx ? whe...

    Text Solution

    |

  5. which one of the following is the differential equation to family of c...

    Text Solution

    |

  6. Which does the solution of the differential equation x (dy)/(dx)=y re...

    Text Solution

    |

  7. What does the differential equation y(dy)/(dx) +x =k ( where k is a c...

    Text Solution

    |

  8. Parabolas having their vertices at the origin and foci on the x-axis.

    Text Solution

    |

  9. What is the solution of the differential equation (dy)/(dx) + sqrt(...

    Text Solution

    |

  10. The differential equation of all parabolas whose axis are parallel ...

    Text Solution

    |

  11. If the solution of the differential equation (dy)/(dx)=(ax+3)/(2y+f)...

    Text Solution

    |

  12. The degree of the differential equation ((d^(3)y)/(dx^(3)))^(2//3)+4...

    Text Solution

    |

  13. what does the differential equation y(dy)/(dx) +x =a (where a is a...

    Text Solution

    |

  14. The degree of the differential equation ((d^(3)y)/(dx^(3)))^(2//3)+4...

    Text Solution

    |

  15. What is the equation of the curve passing through the point (0,pi/3) ...

    Text Solution

    |

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

    Text Solution

    |

  17. What is the degree of the differential equation y = x (dy)/(dx) + (...

    Text Solution

    |

  18. which one of the following differential equation is not linear ?

    Text Solution

    |

  19. what is the degree of the differential equation (d^(3)y)/(dx^(3) +2 (...

    Text Solution

    |

  20. Conssider a differential equation of order m and degree n. which one o...

    Text Solution

    |