Hello. Please answer the following question, ensure that your answer is correct and is supported by calculations, explanations and algebraic work. Solutions for Ordinary Differential Equations must be given in real values form(i.e. no complex or imaginary values). Please organize your work, in a reasonably neat and coherent way. Again, ensure to justify your answer in a clear and reasonable way, as well as in a detailed manner. Answers not supported or justified will receive a thumbs down. Thank you so much, I hope you have a great day! :)

Consider the following non-linear system with x 2 0, y > 0: da dt = 2x(1 - ?) + xy dy dt = 6y( 1 - 7) + zay a) In the xy-phaseplane sketch the null-clines clearly distinguishing the x- and y-nullclines. b) Identify all equilibrium points c) In each sector marked by the nullclines, sketch one direction arrow. d) sketch a sample solution curve (trajectory) with an initial condition in each of the sectors marked by the nullclines. e) Use this sketch to conjecture about the classification of the equilibrium points (no computations required for this part)