Home
Class 12
MATHS
Polio drops are delivered to 50K childre...

Polio drops are delivered to 50K children in a district. The rate at which polio drops are given is directly proportional to the number of children who have not been administered the drops. By the end of `2^("nd")` week half the children have been given the polio drops. How many will have been given the drops by the end of 3rd week can be estimated using the solution to the differential equation `(dy)/(dx)=k(50-y)` where x denotes the number of weeks and y the number of children who have been given the drops.
The value of c in the particular solution given that y(0)=0 and k = 0.049 is

A

log 50

B

log 1/50

C

50

D

`-50 `

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • QUESTION BANK 2021

    CBSE MODEL PAPER|Exercise QUESTIONS|9 Videos
  • Additional Practice Questions

    CBSE MODEL PAPER|Exercise Question|87 Videos
  • SAMPLE QUESTION PAPER ( MATHEMATICS )

    CBSE MODEL PAPER|Exercise QUESTION|60 Videos

Similar Questions

Explore conceptually related problems

Polio drops are delivered to 50K children in a district. The rate at which polio drops are given is directly proportional to the number of children who have not been administered the drops. By the end of 2^("nd") week half the children have been given the polio drops. How many will have been given the drops by the end of 3rd week can be estimated using the solution to the differential equation (dy)/(dx)=k(50-y)where x denotes the number of weeks and y the number of children who have been given the drops. State the order of the above given differential equation.

Polio drops are delivered to 50K children in a district. The rate at which polio drops are given is directly proportional to the number of children who have not been administered the drops. By the end of 2^("nd") week half the children have been given the polio drops. How many will have been given the drops by the end of 3rd week can be estimated using the solution to the differential equation (dy)/(dx)=k(50-y) where x denotes the number of weeks and y the number of children who have been given the drops. The solution of the differential equation (dy)/(dx)=k(50-y) is given by,

Polio drops are delivered to 50K children in a district. The rate at which polio drops are given is directly proportional to the number of children who have not been administered the drops. By the end of 2^("nd") week half the children have been given the polio drops. How many will have been given the drops by the end of 3rd week can be estimated using the solution to the differential equation (dy)/(dx)=k(50-y) where x denotes the number of weeks and y the number of children who have been given the drops. hich of the following solutions may be used to find the number of children who have been given the polio drops?

Polio drops are delivered to 50K children in a district. The rate at which polio drops are given is directly proportional to the number of children who have not been administered the drops. By the end of 2^("nd") week half the children have been given the polio drops. How many will have been given the drops by the end of 3rd week can be estimated using the solution to the differential equation (dy)/(dx)=k(50-y) where x denotes the number of weeks and y the number of children who have been given the drops. Which method of solving a differential equation can be used to solve (dy)/(dx)=k(50-y) ?

Polio drops are not given to children suffering from diarrhoea. Why?

Antivenom injection contains preformed antibodies while polio drops that are administered into the body contain

In a city, polio drops were given to 2,12,583 children on Sunday in March 2008 and to 2,16,813 children in the next month. Find the difference of the number of children getting polio drops in the two months.