Home
Class 12
MATHS
A population grows at the rate of 8% per...

A population grows at the rate of 8% per year. How long does it take for the population to double? Use differential equation for it.

Text Solution

Verified by Experts

The correct Answer is:
50 log 2 years
Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIAL EQUATIONS

    MODERN PUBLICATION|Exercise EXERCISE 9 (f) Long Answer Type Questions (II)|6 Videos

  • DIFFERENTIAL EQUATIONS

    MODERN PUBLICATION|Exercise EXERCISE 9 (g) Long Answer Type Questions (I)|14 Videos

  • DIFFERENTIAL EQUATIONS

    MODERN PUBLICATION|Exercise EXERCISE 9 (f) Short Answer Type Questions|14 Videos

  • DETERMINANTS

    MODERN PUBLICATION|Exercise Chapter test 4|12 Videos

  • INTEGRALS

    MODERN PUBLICATION|Exercise COMPETITION FILE|24 Videos

Similar Questions

Explore conceptually related problems

A popular grows at the rate of 10% of the population per year. How long does it take for the population to doble ?

The population grows in at the rate of 8% per year. Find the time taken for the population to become double . (Given : log 2 = 0.6912)

A population grows at the rate of 5% per year. Then the population will be doubled in :

A population grows at the rate of 5% per year. If x=x(t) denotes the number of individuals in the population after t years, then the rate of change of x is equal to 5% of x. Form the desired differential equation .

The population of a city increases at the rate 3% per year. If at time t the population of city is p, then find equation of p in time t.

Village X has a population of 68000, which is decreasing at the rate of 1200 per year,Village Y has a population of 42000, which is increasing at the rate of 800 per year.In how many years will the population of the two villages be equal?

City A has a population of 136000 which is decreasing at the rate of 2400 per year.City B has a population of 84000 which is increasing at the rate of 1600 per year. In how many years will the population of two cities become equal?

The population of a town is increasing at the rate of 5% per annum. What will be the population of the town on this basis after two years, if the present population is 16000?

Village A has a population of 6800, which is decreasing at the rate of 120 per year. Village B has a population of 4200, which is increasing at the rate of 80 per year. In how many years will the population of the two villages will become equal ?

MODERN PUBLICATION-DIFFERENTIAL EQUATIONS-EXERCISE 9 (f) Long Answer Type Questions (I)
  1. Solve the following initial value problems and find the corresponding ...

    Text Solution

    |

  2. Solve the following initial value problems and find the corresponding ...

    Text Solution

    |

  3. Solve the following initial value problems and find the corresponding ...

    Text Solution

    |

  4. Solve the following initial value problems and find the corresponding ...

    Text Solution

    |

  5. Find the particular solution of the following differential equation...

    Text Solution

    |

  6. Find the particular solution of the following : (dy)/(dx)= 4 xy^(2),...

    Text Solution

    |

  7. Find the particular solution of the following : (dy)/(dx)= y tan x, ...

    Text Solution

    |

  8. Find the particular solution of the differential equation e^xsqrt(1-y^...

    Text Solution

    |

  9. Find the particular solution of the following : (x+1)(dy)/(dx)=2e^(-...

    Text Solution

    |

  10. Find the particular solution of the following : sec^(2)x tan y dx - ...

    Text Solution

    |

  11. Find the particular solution of the following : (dy)/(dx)=x^(3) cose...

    Text Solution

    |

  12. Find the particular solution of the following : (dy)/(dx)= (x(2 log ...

    Text Solution

    |

  13. Find the particular solution of : (i) log(dy/dx)=2x+y (ii) log(d...

    Text Solution

    |

  14. The normal lines to a given curve at each point pass through (2,0). Th...

    Text Solution

    |

  15. For the differential equation : xy (dy)/(dx)=(x+2)(y+2), find the ...

    Text Solution

    |

  16. Find the particular solution of the differential equation xy(dy)/(d...

    Text Solution

    |

  17. In a bank, principal increases continuously at the rate of 5% per y...

    Text Solution

    |

  18. In a bank, principal increases continuously at the rate of 5% per yea...

    Text Solution

    |

  19. A population grows at the rate of 8% per year. How long does it tak...

    Text Solution

    |

  20. The surface area of a balloon, being inflated, changes at a rate propo...

    Text Solution

    |