Question

Test populations are studied. Population one is found to obey the differential equation dy1/da=o.2y1 and the population two obeys dy2/da = -0.3y2 , where t is the time in years? Which population is growing and which is declining

Answer 1

Answer:

Population 1 indicates growth while Population 2 indicates a declining population

Explanation:

Here, using the given rate of change of the population, we want to determine which of the two is growing and which is declining

From the rate of change of both, we can determine this. Looking at the differential equation for the first one, we can see that it is of positive value. Looking at the differential equation for the second one. we can see it is of negative value

While a positive change rate indicates growth, a negative change rate will indicate otherwise

Hence, we can conclude that the one with a negative rate change will indicate a declining population