Question

Polio drops are delivered to 50 K 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 3^rd 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")`?

Options

• Variable separable method

• Solving Homogeneous differential equation

• Solving Linear differential equation

• all of the above

Answer 1

Variable separable method.