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! :) Everything necessary for this problem is seen below, no information is required beyond knowledge of ordinary differential equations relating to this problem. This question is stand alone and all related information is shown.

For the following model: dx = x(40 - 2x - 2y) dt dy = y(60 - 4x - 2y) dt Notice that x and y are both non-negative. I. Find all equilibria. Il. For the equilibrium (ac* , * ) with a* > 0 and y* > 0: 1. Compute the Jacobian Matrix Il. Determine the type of the equilibrium point