Home
Class 12
MATHS
Five mice in a stable population of 50...

Five mice in a stable population of 500 are intentionally infected with a contagious disease to test a theory of epidemic spred that postulates the rate of change in the infected population is proportional to the product of the number of mice who have the disease with the number that are disease free. Assuming the theory is correct, how long will it take half the popullation to contract the disease?

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIAL EQUATION

    ARIHANT MATHS ENGLISH|Exercise Solved Examples|1 Videos

  • DIFFERENTIAL EQUATION

    ARIHANT MATHS ENGLISH|Exercise Subjective Type Question|1 Videos

  • DETERMINANTS

    ARIHANT MATHS ENGLISH|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|18 Videos

  • DIFFERENTIATION

    ARIHANT MATHS ENGLISH|Exercise Exercise For Session 10|4 Videos

Similar Questions

Explore conceptually related problems

The germ theory of disease' was postulated by:

Who postulated the mutation theory?

Common cold, the most contagious disease is due to

Age pyramid of a stable population is

Give the formula for the change in population size.

Name the scientists associated with the Germ theory of disease

The present rate of human population is apropximately

What is a zero population growth rate?

The population of a town grows at the rate of 10% per year. Using differential equation, find how long will it take for the population to grow 4 times.

State five causes and five consequences of population growth.

ARIHANT MATHS ENGLISH-DIFFERENTIAL EQUATION -Exercise (Questions Asked In Previous 13 Years Exam)
  1. Five mice in a stable population of 500 are intentionally infected w...

    Text Solution

    |

  2. If f:R-{-1}toR and f is differentiable function satisfies: f((x)+f(y...

    Text Solution

    |

  3. A solution curve of the differential equation (x^2+xy+4x+2y+4)((dy)/(d...

    Text Solution

    |

  4. "Let "f:(0.oo)rarrR" be a differentiable function such that "f'(x)=2-...

    Text Solution

    |

  5. Let y(x) be a solution of the differential equation (1+e^(x))y^(')+ye^...

    Text Solution

    |

  6. Consider the family of all circles whose centers lie on the straight l...

    Text Solution

    |

  7. The function y=f(x) is the solution of the differential equation (d...

    Text Solution

    |

  8. Let f:[1/2,1]->R (the set of all real numbers) be a positive, non-cons...

    Text Solution

    |

  9. A curve passes through the point (1,(pi)/(6)). Let the slope of the cu...

    Text Solution

    |

  10. Let f:[0,1]rarrR (the set of all real numbers) be a function. Suppose ...

    Text Solution

    |

  11. Let f:[0,1]rarrR be a function. Suppose the function f is twice differ...

    Text Solution

    |

  12. Let f:[0,1]rarrR (the set of all real numbers) be a function. Suppose ...

    Text Solution

    |

  13. Let f:[0,1]toR (the set of all real numbers ) be a function. Suppose t...

    Text Solution

    |

  14. If y(x) satisfies the differential equation y^(prime)-ytanx=2xs e c...

    Text Solution

    |

  15. Let y^(prime)(x)+y(x)g^(prime)(x)=g(x)g^(prime)(x),y(0),x in R , wher...

    Text Solution

    |

  16. Let f: R to R be a continuous function which satisfies f(x)= int0^xf(...

    Text Solution

    |

  17. Let a solution y=y(x) of the differential equation xsqrt(x^(2)-1) dy-...

    Text Solution

    |

  18. If a curve y=f(x) passes through the point (1,-1) and satisfies the di...

    Text Solution

    |

  19. Let y(x) be the solution of the differential equation (xlogx)(dy)/(dx)...

    Text Solution

    |

  20. Let the population of rabbits surviving at a time t be governed by t...

    Text Solution

    |

  21. At present, a firm is manufacturing 2000 items. It is estimated tha...

    Text Solution

    |