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

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