Home
Class 12
MATHS
The order and degree of differential equ...

The order and degree of differential equation:
`((d^(3)y)/(dx^(3)))^(2)-3(d^(2)y)/(dx^(2))+2((dy)/(dx))^(4)=y^(4)"are"`

A

1,4

B

3,4

C

2,4

D

3,2

Text Solution

AI Generated Solution

To determine the order and degree of the given differential equation: \[ \left(\frac{d^3y}{dx^3}\right)^2 - 3\left(\frac{d^2y}{dx^2}\right) + 2\left(\frac{dy}{dx}\right)^4 = y^4 \] we will follow these steps: ...
Promotional Banner

Topper's Solved these Questions

  • DETERMINANTS

    NCERT EXEMPLAR|Exercise Determinants|58 Videos

  • INTEGRALS

    NCERT EXEMPLAR|Exercise Integrals|62 Videos

Similar Questions

Explore conceptually related problems

The degree of the differential equation ((d^(3)y)/(dx^(3)))^(2//3)+4-3(d^(2)y)/(dx^(2))+5(dy)/(dx)=0, is

The order and degree of the differential equation (1+3(dy)/(dx))^(2//3)=4(d^(3)y)/(dx^(3))are

The order and degree of the differential equation " ((d^(2)y)/(dx^(2))+((dy)/(dx))^(3))^((6)/(5))=6y is

The order and degree of the differential equation [1+((dy)/(dx))^(2)]^(3//4)=((d^(2)y)/(dx^(2)))^(1//3)

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

The degree of the differential equation ((d^3 y)/(dx^(3)))^(4) + ((d^2y)/(dx^(2))) + (dy)/(dx) + y=0 is

The order and degree of the differential equation , (d^(3)y)/(dx^(3))+sqrt(((dy)/(dx))^(3)+y^(2))=0

Determine the order and degree of the differential equation : ((dy)/(dx))^(3)-2y(d^(2)y)/(dx^(2))=0 .

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

The degree of the differential equation (d^(3)y)/(dx^(3))+sqrt(((d^(2)y)/(dx^(2)))+2)+(dy)/(dx)+1=0 is

NCERT EXEMPLAR-DIFFERENTIAL EQUATIONS -Differential Equations
  1. The solution of x(dy)/(dx)+y=e^(x)"is"

    Text Solution

    |

  2. The differential equation of the family of curves of x^(2)+y^(2)-2ay=0...

    Text Solution

    |

  3. The family y=Ax+A^(3) of curves is represents by differential equation...

    Text Solution

    |

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

    Text Solution

    |

  5. The curve for which the slope of the tangent at any point is equal to ...

    Text Solution

    |

  6. The general solution of differential equation (dy)/(dx)=e^((x^(2))/(2)...

    Text Solution

    |

  7. The solution of equation (2y-1)dx-(2x+3)dy=0 is

    Text Solution

    |

  8. The differential equation for which y=a cos x+b sin x is a solution is

    Text Solution

    |

  9. The solution of (dy)/(dx)+y=e^(-x), y(0)=0 "is"

    Text Solution

    |

  10. The order and degree of differential equation: ((d^(3)y)/(dx^(3)))^(...

    Text Solution

    |

  11. The order and degree of differential equation: [1+((dy)/(dx))^(2)]=(d^...

    Text Solution

    |

  12. The differential equation of family of curves of y^(2)=4a(x+a)is

    Text Solution

    |

  13. Which of the following is a general solution of (d^(2)y)/(dx^(2))-2(dy...

    Text Solution

    |

  14. The general solution of (dy)/(dx)+y tan x=sec x is

    Text Solution

    |

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

    Text Solution

    |

  16. The general solution of differential equation (dy)/(dx)=e^((x^(2))/(2)...

    Text Solution

    |

  17. The solution of differential equation (dy)/(dx)=e^(x-y)+x^(2)e^(-y)is

    Text Solution

    |

  18. The solution of differential equation (dy)/(dx)+(2xy)/(1+x^(2))=(1)/(1...

    Text Solution

    |

  19. (i) The degree of the differential equation (d^(2)y)/(dx^(2))+e^(dy//d...

    Text Solution

    |

  20. State True and False for the following (i) Integrating factor of the...

    Text Solution

    |