44 children on a trip. each adult can supervise up to 10 children. maximum group size is 12 people. 2 childrebn each have their own carer. these adult carers cannot supervise any other children. the school wants the smallest number of groups. organise the adults and the children into groups for the visit.

Group 1: one Adult with 9 children group size =10
Group 2: one Adult with 9 children Group size = 10
Group 3: one Adult with 9 children Group size =10
Group 4: one Adult with 9 children Group size = 10
Group 5: one Adult with 6 children plus 2 children with their carer  Group size = 11

The required value of c is -192.

Step-by-step explanation:

We are given the differential equation:

The solution to the given differential equation is:

Initial condition:

Putting the values, in the solution, we get,

Thus, the required value of c is -192.