Home
Class 12
MATHS
Find the differential equations represen...

Find the differential equations representing the family of curves `v=A/r+B` where Aand B are arbitrary constants.

Text Solution

Verified by Experts

The correct Answer is:
`r(d^(2)v)/(dr^(2))+2(dv)/(dr)=0`
Promotional Banner

Topper's Solved these Questions

  • DIFFERENTAL QUATIONS

    ACCURATE PUBLICATION|Exercise TYPE-III:TRUE OR FALSE QUESTIONS|26 Videos
  • DETERMINANTS

    ACCURATE PUBLICATION|Exercise (Question carrying 6 marks)|7 Videos
  • DIFFERENTIABILITY

    ACCURATE PUBLICATION|Exercise QUESTIONS CARRYING 4 MARKS|50 Videos

Similar Questions

Explore conceptually related problems

Form the differential equation representing the family of curves x/a+y/b=1 where a and b are arbitrary constants.

Form the differential equation representing the family of curve y=asin(x+b) , where a and b are artibrary constants.

Form the differential equation representing the family of curves y = mx , where, m is arbitrary constant.

Form the differential equation representi.ng the family of curves y = a sin (x + b) , where a and b are arbitrary constants

Find the differential equation which representing the family of curve y=A cos 2x + B sin 2x , where A and B are constants.

Fill ups The differential equation of the family of curves y=asin(bx+c) , where a and c are arbitrary constants is…………… .

Differential equation representing the curve : y=cos x is :

Differential equation representing the curve : y=sin x is :

ACCURATE PUBLICATION-DIFFERENTAL QUATIONS-QUESTIONS CARRYING 4 MARKS
  1. Write the sum of the order and the degree of the following differentia...

    Text Solution

    |

  2. Find the sum of the degree and the order for the following differentia...

    Text Solution

    |

  3. Find the differential equations representing the family of curves v=A/...

    Text Solution

    |

  4. Solve : xsqrt((1+y^(2)))dx+ysqrt((1+x^(2)))dy=0

    Text Solution

    |

  5. Solve sqrt(1+x^(2)+y^(2)+x^(2)y^(2))+xy(dy)/(dx)=0

    Text Solution

    |

  6. Solve the following differential equation e^(x) tan ydx + (1- e^(x) ...

    Text Solution

    |

  7. Find the particular solution of the following differential equation : ...

    Text Solution

    |

  8. Find the particular solution of the following differential equation: ...

    Text Solution

    |

  9. Find the particular solution of the following differential equation: ...

    Text Solution

    |

  10. If y(x) is a solution of the differential equation ((2+sinx)/(1+y))(dy...

    Text Solution

    |

  11. Find the particular solution of the differential equation log((dy)/(dx...

    Text Solution

    |

  12. Find the particular solution of the differential equation e^(x)sqrt(1-...

    Text Solution

    |

  13. Solve the differential equation (x^(2)-yx^(2))dx+(y^(2)+x^(2)y^(2))dy=...

    Text Solution

    |

  14. Find the particular solution of the following differential equation: ...

    Text Solution

    |

  15. Show that each of the following differential equations is homogeneous ...

    Text Solution

    |

  16. Show that each of the following differential equations is homogeneous ...

    Text Solution

    |

  17. Show that each of the following differential equations is homogeneous ...

    Text Solution

    |

  18. Show that the given differential equations are homogeneous and solve t...

    Text Solution

    |

  19. Show that the given differential equation is homogeneous and solve it:...

    Text Solution

    |

  20. Solve the differential equation xdy - ydx = sqrt(x^2+y^2)dx

    Text Solution

    |