Question 2. a) Consider the differential equation 3/ = a y, with a a real constant. If y : f(w) is a solution, what is the behaviour of f as w > +00? b) Consider the same question as in item a) for the differential equation 3/ = a + y. c) Solve the two equations in items a) and b) to verify your answers. d) Consider the differential equation 3/ = e\"\"2y. What can you say about the behaviour of solutions as ac > +00? e) What can be said about the solutions to y' = m21+1y? The differential equations we have encountered in the course allow us to perform simple forensic analysis! As an example, we consider the following murder investigation