Home
Class 12
MATHS
The population p(t) at time t of a certa...

The population p(t) at time t of a certain mouse species satisfies the differential equation `(d p(t)/(dt)=0. 5 p(t)-450` If `p(0)""=""850` , then the time at which the population becomes zero is (1) 2 ln 18 (2) ln 9 (3) `1/2` In 18 (4) ln 18

A

1/2 ln18

B

ln 18

C

2 ln 18

D

ln 9

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIAL EQUATION

    MOTION|Exercise Exercise 3|52 Videos

  • DIFFERENTIABILITY

    MOTION|Exercise Exercise - 4 | Level-I Previous Year | JEE Main|15 Videos

  • ELLIPSE

    MOTION|Exercise Exercise - 4 | Level-I Previous Year | JEE Main|20 Videos

Similar Questions

Explore conceptually related problems

The population p(t) at a time t of a certain mouse species satisfies the differential equation (dp(t))/(dt)=0.5p(t)-450. If p(0)=850 . Then the time at which the population becomes zero is

The population p(t) at time t of a certain mouse species satisfies the differential equation (dp(t))/(dt)=0.5p(t)-450 If p(0)=850, then the time at which the population becomes zero is (1)2ln18(2)ln9 (3) (1)/(2)In18(4)ln18

Let the population of rabbits surviving at a time t be governed by the differential equation (dp(t)/(dt)=(1)/(2)p(t)-200. If p(0)=100, then p(t) equals

(d)/(dt)log(1+t^(2))

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.

MOTION-DIFFERENTIAL EQUATION -Exercise 4
  1. Let I be the purchase value of an equipment and V(t) be the value afte...

    Text Solution

    |

  2. If (dy)/(dx)=y+3 and y(0)=2, then y(ln 2) is equal to

    Text Solution

    |

  3. The population p(t) at time t of a certain mouse species satisfies the...

    Text Solution

    |

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

    Text Solution

    |

  5. The angle between the lines whose direction cosines satisfy the equ...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  9. If (2+sinx) dy/dx + (y+1) cosx =0and y(0) = 1, then y(pi/2) is equal t...

    Text Solution

    |

  10. Let y=g(x) be the solution of the differential equation sin (dy)/(dx...

    Text Solution

    |

  11. Let f(x) be differentiable on the interval (0,oo) such that f(1)=1 and...

    Text Solution

    |

  12. The differential equation (dy)/(dx)=(sqrt(1-y^2))/y determines a fa...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  15. If. y (x) satisfies the differential equation y' – y tan x = 2x sec x ...

    Text Solution

    |

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

    Text Solution

    |

  17. Let f[0, 1] -> R (the set of all real numbers be a function.Suppose t...

    Text Solution

    |

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

    Text Solution

    |

  19. The function y = f(x) is the solution of the differential equation dy/...

    Text Solution

    |

  20. Let y(x) be a solution of the differential eqution (1 +e^x)y' +ye^x = ...

    Text Solution

    |