Home
Class 12
MATHS
For each of the differential equations g...

For each of the differential equations given below, indicate its order and degree(if defined).
(i) `(d^(2)y)/(dx^(2))+ 5x((dy)/(dx))^(2) - 6y = log x`
(ii)`((dy)/(dx))^(3) - 4((dy)/(dx))^(2) + 7y = sin x`
(iii)`(d^(4)y)/(dx^(4)) - sin ((d^(3)y)/(dx^(3)) = 0`

Text Solution

Verified by Experts

The correct Answer is:
(i) Order 2; Degree 1
(ii) Order 1; Degree 3
(iii) Order 4; Degree not defined
Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIAL EQUATIONS

    NCERT TELUGU|Exercise EXERCISE - 9.6|19 Videos

  • DETERMINANTS

    NCERT TELUGU|Exercise Miscellaneous Exercises on Chapter 4|17 Videos

  • INTEGRALS

    NCERT TELUGU|Exercise EXERCISE 7.12|43 Videos

Similar Questions

Explore conceptually related problems

Find the order and degree of ((d^(2)y)/(dx^(2))+((dy)/(dx))^(3))^((6)/(5))=6y

Find the order and degree of ((d^(3)y)/(dx^(3)))^(2)-3((dy)/(dx))^(2)-e^(x)=4 .

Find the order and degree of the D.E (d^(2)y)/(dx^(2)) + 2(dy)/(dx) + y = log((dy)/(dx))

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

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

Find the order and degree of the differential equation [(d^(2)y)/(dx^(2)) + ((dy)/(dx))^(3)]^(6"/"5) = 6y .

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

Find the order and degree of (d^2y)/(dx^2)=[1+((dy)/(dx))^2]^(5//3)

NCERT TELUGU-DIFFERENTIAL EQUATIONS-MISCELLANEOUS EXERCISE
  1. For each of the differential equations given below, indicate its order...

    Text Solution

    |

  2. For each of the exercises given below, verify that the given function...

    Text Solution

    |

  3. Form the differential equation representing the family of curves give...

    Text Solution

    |

  4. Prove the x^(2) - y^(2) = c (x^(2) + y^(2))^(2) is the general solutio...

    Text Solution

    |

  5. Form the differential equation of the family of circles in the first q...

    Text Solution

    |

  6. Find the general solution of the differential equation (dy)/(dx) + sqr...

    Text Solution

    |

  7. Show that the general solution of the differential equation (dy)/(dx) ...

    Text Solution

    |

  8. Find the equation of the curve passing through the point (0, (pi)/(4))...

    Text Solution

    |

  9. Find the particular solution of the differential equation (1 + e^(2x)...

    Text Solution

    |

  10. Solve the differential equation y e^(x)/(y) dx = (x e^(x)/(y) + y^(2))...

    Text Solution

    |

  11. Find a particular solution of the differential equation (x - y)(dx + d...

    Text Solution

    |

  12. Solve the differential equation [(e^(-2sqrtx))/(sqrtx) - (y)/(sqrtx)](...

    Text Solution

    |

  13. The solution of (dy)/(dx) + y cot x = 4x cosec x, given that y = 0, x ...

    Text Solution

    |

  14. Find a particular solution of the differential equation (x + 1)(dy)/(d...

    Text Solution

    |

  15. The population of a village increases continuously at the rate proport...

    Text Solution

    |

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

    Text Solution

    |

  17. The general solution of a differential equation of the type (dy)/(dx)...

    Text Solution

    |

  18. The general solution of the differential equation e^(x) dy + (y e^(x) ...

    Text Solution

    |