Home
Class 12
MATHS
Find the order and degree (if defined) o...

Find the order and degree (if defined) of the following differential equations:
`(d^(2)y)/(dx^(2)) = {1+((dy)/(dx))^(4)}^(5//3)`

Text Solution

Verified by Experts

The correct Answer is:
Order-2, degree-3

`(d^(2)y)/(dx^(2))={1+((dy)/(dx))^(4)}^(5//3)`
or `((d^(2)y)/(dx^(2)))^(3)={1+((dy)/(dx))^(4)}^(5)`
Hence, the order is 2 and degree is 3.
Promotional Banner

Topper's Solved these Questions

  • DIFFERENT PRODUCTS OF VECTORS AND THEIR GEOMETRICAL APPLICATIONS

    CENGAGE PUBLICATION|Exercise Multiple correct answers type|11 Videos
  • DIFFERENTIATION

    CENGAGE PUBLICATION|Exercise Archives|14 Videos

Similar Questions

Explore conceptually related problems

Find the order and degree of the following differential equation: (dy)/(dx)+y=1/((dy)/(dx))

Find the order and degree of the following differential equation: sin^(-1)((dy)/(dx))=x+y

Find the order and degree of the following differential equation: (d^2y)/(dx^2)=[y+((dy)/(dx))^6]^(1/4)

Find the order and degree of the following differential equation: e^((d^3y)/(dx^3))-x(d^2y)/(dx^2)+y=0

Find the order and degree of the following differential equation: ln((dy)/(dx))=a x+b y

Determine order and Degree(if defined) of differential equations given ((d^(2)y)/(dx^(2)))^(2) + cos ((dy)/(dx)) = 0

Find the order and degree, if defined, of each of the following differential equations: (i) (dy)/(dx) - cos x = 0 (ii) xy (d^(2)y)/(dx^(2)) + x((dy)/(dx))^(2) - y (dy)/(dx) = 0 (iii) y''' + y^(2) + e^(y)' = 0

Determine order and Degree(if defined) of differential equations given (d^(2)y)/(dx^(2)) = cos3x + sin 3x

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

Find the order and degree (if defined) of the equation: (d^2y)/(dx^2)={1+((dy)/(dx))^4}^(5/3)

CENGAGE PUBLICATION-DIFFERENTIAL EQUATIONS-All Questions
  1. The force of resistance encountered by water on a motor boat of mas...

    Text Solution

    |

  2. A and B are two separate reservoirs of water. Capacity of reservoir...

    Text Solution

    |

  3. Find the order and degree (if defined) of the following differential e...

    Text Solution

    |

  4. Find the order and degree (if defined) of the equation: (d^3y)/(dx^3)...

    Text Solution

    |

  5. ((d^(4)y)/(dx^(4)))^(3)+3((d^(2)y)/(dx^(2)))^(6) + sinx =2cosx

    Text Solution

    |

  6. Find the order and degree (if defined) of the equation: ((d^3y)/(dx^3...

    Text Solution

    |

  7. Find the order and degree (if defined) of the equation: a=(1[1+((dy)/...

    Text Solution

    |

  8. Find the order and degree (if defined) of the equation: (d^4y)/(dx^4)...

    Text Solution

    |

  9. Find the differential equation of All-horizontal lines in a plane. All...

    Text Solution

    |

  10. Form the differential equation of family of circles having center at o...

    Text Solution

    |

  11. Find the differential equation of all parabolas whose axes are paralle...

    Text Solution

    |

  12. Find the differential equation of the family of curves y=A e^(2x)+B...

    Text Solution

    |

  13. The degree of the differential equation satisfying the relation sqrt(1...

    Text Solution

    |

  14. Find the differential equation whose general solution is given by y=(c...

    Text Solution

    |

  15. Solve e^((dy)/(dx))=x+1, given that when x=0,y=3.

    Text Solution

    |

  16. Solve (x-y^(2)x)dx=(y-x^(2)y)dy.

    Text Solution

    |

  17. Solve sec^(2)x tany dx+sec^(2)y tanx dy=0

    Text Solution

    |

  18. Solve the following differential equation: e^xtany\ dx+(1-e^x)sec^2y...

    Text Solution

    |

  19. Solve the following differential equations: (dy)/(dx)=1+x+y+x y (ii)...

    Text Solution

    |

  20. Solve (x-y)(dx+dy)=dx-dy, given that y=-1, where x=0.

    Text Solution

    |