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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.
Which method of solving a differential equation can be used to solve `(dy)/(dx)=k(50-y)`?

A

Variable separable method

B

Solving Homogeneous differential equation

C

Solving Linear differential equation

D

all of the above

Text Solution

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The correct Answer is:
A
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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.

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

Patients suffering from cholera are given saline drop as

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