3. Total 8 points. a- [6 Points] SUppose X'(t) = mm) + 0.5 (1322; model for a certain biological process. Given, 1' = 0.1, n = 5 and X(t) = 3 fort 5 0. use Euler's method with a step size of 0.1 time-units, and approximate X (0.2). ) is a delay differential equation b. [2 points] In the bifurcation diagram below, I is an explicit time delay and n is the steepness of the negative feedback in a differential equation model, which can exhibit stable oscillations. Mark a point in this diagram to show values of T and n where oscillations can occur (You may redraw this gure if you can not print out the exam). What causes a change in model behavior as the parameters 1' and n are increased from values below to values above the black curve