Home
Class 12
MATHS
The population of a village increases co...

The population of a village increases continuously at the rate proportional to the number of its inhabitants present at any time. If the population of the village was 20,000 in 1999 and 25000 in the year 2004, what will be the population of the village in 2009?

Text Solution

Verified by Experts

The correct Answer is:
Hence, the population was 31,250 in 2009.
Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIAL EQUATIONS

    MODERN PUBLICATION|Exercise Exercise|4 Videos
  • DIFFERENTIAL EQUATIONS

    MODERN PUBLICATION|Exercise Revision Exercise|33 Videos
  • DIFFERENTIAL EQUATIONS

    MODERN PUBLICATION|Exercise NCERT - FILE (Questions from NCERT Book) (Exercise 9.6)|19 Videos
  • DETERMINANTS

    MODERN PUBLICATION|Exercise Chapter test 4|12 Videos
  • INTEGRALS

    MODERN PUBLICATION|Exercise COMPETITION FILE|24 Videos

Similar Questions

Explore conceptually related problems

The population of a village increases continuously at the rate proportional to the number of its inhabitants present at any time. If the population of the village was 20,000 in 1999 and 25000 in the village was 20,000 in the population of the village in 2009?

The population of a village increases continuously at the rate proportional to the number of its inhabitants present at any time. If the population of the village was 20,000 in 1999 and 25000 in the village was 20,000 in the population of the village in 2009?

The population of a village increases at the rate of 16% per annum. If the present population of the village is 403680, then what was the population of the village 2 years ago?

The population of a village increases at a rate of 5% every year. If the present population of the village is 5620, find the population after 1 year.

The population of a village increases at a rate of 5% every year. If the present population of the village is 5620, find the population after 1 year.

There are 12,000 men, 11,789 women annd 1,700 children in a village. Find the population of the village.

MODERN PUBLICATION-DIFFERENTIAL EQUATIONS-Miscellaneous Exercise on Chapter 9
  1. For each of the exercises given below, verify that the given function...

    Text Solution

    |

  2. The differential equation for y=e^(x)(acosx+bsinx) is

    Text Solution

    |

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

    Text Solution

    |

  4. if x^2=2y^2logy then prove (x^2+y^2)(dy)/(dx)-xy=0

    Text Solution

    |

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

    Text Solution

    |

  6. Prove that x^2-y^2=c(x^2+y^2)^2is the general solution of differenti...

    Text Solution

    |

  7. Form the differential equation of the family of circles in the firs...

    Text Solution

    |

  8. Solve the differential equation(dy)/(dx)+sqrt((1-y^2)/(1-x^2))=0

    Text Solution

    |

  9. Show that the general solution of the differentia equation (dy)/(dx...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  13. Solve (x-y)(dx+dy)=dx-dy, given that y=-1, where x=0.

    Text Solution

    |

  14. Solve [(e^(-2sqrt(x)))/(sqrt(x))-y/(sqrt(x))](dx)/(dy)=1(x!=0

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  18. The general solution of the differential equation (ydx-xdy)/(y)=0 is :

    Text Solution

    |

  19. The general solution of a differential equation of the type (dx)/(d...

    Text Solution

    |

  20. The general solution of the differential equation e x" "dy" "+" "(y...

    Text Solution

    |