Help with Question 4 and 5 please

lestion 3: Determine the value of , if y is the solution of the 3.1 yee, yl - 3y" + 2y' = 0. 3.2 y = i" fort > 0, zy" - 4ty' + 4y = 0. Question 4: A population of insects, P , changes at a rate of P' = $1 - _ members per week. Find the number of insects in the nest if the population starts decreasing after 10 weeks. Question 5: Write down a differential equation describing the situation. If possible, give an initial value. 5.1 There are 100 rats in your lab. One rat is injected with a virus. The rate of infection is proportional to the difference between the maximum population and the number of infected rats. Let P be the population in millions. 5.2 Let W = f(1) be the percentage of population advocating war at time / days. The rate at which the percentage is changing is proportional to the product of the percentage of the population advocating war and the percentage of the population not advocating war