Home
Class 12
MATHS
Write the order of the differential equa...

Write the order of the differential equation representing the family of curves `y=a x+a^3dot`

Text Solution

Verified by Experts

order `rightarrow` heighest ordes of dernate

diff. with respect to x

`y^{prime}=A `

` y^{prime prime}=0=frac{d^{2} y}{d x^{2}}`

so order = `2`
Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIABILITY

    RD SHARMA|Exercise Solved Examples And Exercises|136 Videos
  • DIFFERENTIALS, ERRORS AND APPROXIMATIONS

    RD SHARMA|Exercise Solved Examples And Exercises|102 Videos

Similar Questions

Explore conceptually related problems

Write the order of the differential equation representing the family of curves y= kx +k^(4) .

Form the differential equation representing the family of curves (y-b)^2=4(x-a) .

The differential equation representing the family of curves y=xe^(cx) (c is a constant )is

Write order of the differential equation of the family of following curves Ay= Bx^2

The differential equation,which represents the family of plane curves y=e^(cx)

The degree of the differential equation representing the family of curves (x-a)^(2)+y^(2)=16 is :

The differential equation corresponding to the family of curves y=e^(x)(ax+b) is

RD SHARMA-DIFFERENTIAL EQUATION-Solved Examples And Exercises
  1. The degree of the differential equation (d^2y)/(dx^2)+e^(dy//dx)=0.

    Text Solution

    |

  2. The number of arbitrary constants in the particular solution of a d...

    Text Solution

    |

  3. Write the order of the differential equation representing the family o...

    Text Solution

    |

  4. Find the sum of the order and degree of the differential equation y...

    Text Solution

    |

  5. Find the solution of the differential equation x\ sqrt(1+y^2)dx+y\ sqr...

    Text Solution

    |

  6. find the solution of the following differential equation x logx (dy)/...

    Text Solution

    |

  7. The general solution of the differential equation dy / dx = y / x is

    Text Solution

    |

  8. Integrating factor of differential equation cosx(dy)/(dx)+ysinx=1 is

    Text Solution

    |

  9. The degree of the differential equation ((d^2y)/(dx^2))^2-((dy)/(dx))=...

    Text Solution

    |

  10. The degree of the differential equation {5+((dy)/(dx))^2}^(5//3)=x^5 \...

    Text Solution

    |

  11. The general solution of the differentia equation (dy)/(dx)+ycotx = cos...

    Text Solution

    |

  12. The differentia equation obtained on eliminating A and B from y=A c...

    Text Solution

    |

  13. The equation of the curve whose slope is given by (dy)/(dx)=(2y)/x ; x...

    Text Solution

    |

  14. The order of the differential equation whose general solution is given...

    Text Solution

    |

  15. The solution of the differential equation (dy)/(dx)=(a x+g)/(b y+f) re...

    Text Solution

    |

  16. Solution of the differential equation (dy)/(dx)+(2y)/(x)=0, where y(1)...

    Text Solution

    |

  17. The solution of the differential equation (dy)/(dx)-(y(x+1))/x=0 is gi...

    Text Solution

    |

  18. The order of the differential equation satisfying sqrt(1-x^4)+sqrt(1-y...

    Text Solution

    |

  19. The solution of the differential equation y1y3=y2^2 is a. x=C1e^(C2 \ ...

    Text Solution

    |

  20. The general solution of the differential equation (dy)/(dx)+y\ g^(prim...

    Text Solution

    |