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

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

A

1,2

B

2,2

C

3,1

D

4,3

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIAL EQUATIONS

    AAKASH SERIES|Exercise Exercise - II|105 Videos

  • DEMOIVRE'S THEOREM

    AAKASH SERIES|Exercise PRACTICE EXERCISE|64 Videos

  • ELLIPSE

    AAKASH SERIES|Exercise PRACTICE EXERCISE|65 Videos

Similar Questions

Explore conceptually related problems

The order of the differential equation [2 + ((dy)/(dx))^(2)]^(-3//2) = a (d^(2)y)/(dx^(2) is

The order and degree of the differential equation y = ([5+((dy)/(dx))^(2)]^(4//3))/((d^(2)y)/(dx^(2))) is

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

The order of the differential equation [(d^(2)y)/(dx^(2)) + ((dy)/(dx))^(2)]^(-3//2) = k (d^(2)y)/(dx^(2)) is

The order and degree of the differential equation [((dy)/(dx))^(2) + ((d^(2)y)/(dx^(2)))]^(5//4) = k (d^(3) y)/(dx^(3)) is

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

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

The order of the differential equation ((dy)/(dx) + 3x)^(3//2) = x + 3 (dy)/(dx) is

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

AAKASH SERIES-DIFFERENTIAL EQUATIONS-Practice Exercise
  1. The degree and order of the differential equation [1+2((dy)/(dx))^(2)]...

    Text Solution

    |

  2. The order and degree of the differential equation (1+3y(1))^(2//3) = 4...

    Text Solution

    |

  3. Degree and order of differential equation y = x(dy)/(dx) + msqrt(1+((d...

    Text Solution

    |

  4. The order and degree of ((d^(4)y)/(dx^(4)) + (d^(2)y)/(dx^(2)))^((5)/(...

    Text Solution

    |

  5. The order degree of the D.E. corres ponding to the family of curve y =...

    Text Solution

    |

  6. The degree and order of D.E. of the family of rectangular hyperbolas w...

    Text Solution

    |

  7. Form the differential equation by eliminating the arbitrary constant f...

    Text Solution

    |

  8. If the differential equation formed by eliminating a,b,c from the equa...

    Text Solution

    |

  9. The differential equation of family of coaxal circles x^(2) + y^(2) + ...

    Text Solution

    |

  10. The D.E. of the family of circles touching X-axis at (0,0) is (or) The...

    Text Solution

    |

  11. The differential equations of hyperbolas with coordinate axis as asymp...

    Text Solution

    |

  12. The differential equation of the family of hyperbolas having centres a...

    Text Solution

    |

  13. The solution of (dy)/(dx) = e^(x+y)+ x^(2)e^(x^(3)+y) is

    Text Solution

    |

  14. The solution of the differential equation (dy)/(dx) = (xy + y)/(yx + x...

    Text Solution

    |

  15. The solution of ydx - xdy = xydx is

    Text Solution

    |

  16. Solution of log ((dy)/(dx)) = 3x+4y, y(0) = 0 is

    Text Solution

    |

  17. The solution of y = x(dy)/(dx) + a sqrt(1+((dy)/(dx))^(2)) is

    Text Solution

    |

  18. (dy)/(dx) = xy + x + y +1 has the solution

    Text Solution

    |

  19. The solution of (x^(2)-y^(2)x^(2))(dy//dx) +(y^(2)+x^(2)y^(2)) = 0 is

    Text Solution

    |

  20. The solution of (x^(2)y^(3) +x^(2))dx + (y^(2)x^(3)+y^(2))dy = 0 is

    Text Solution

    |