For this task you need to choose two different engineering problems that are solved using first order differential equations. You then need to solve them and present every step of your work. Some of the potential engineering systems to research include systems in Motion, Fluid Systems, Electrical Circuits, Vibration, etc.

2. The hatchery was recently bought out by a corporation and the new owners are planning on allowing people to fish at the hatchery. So, the previous differential equation will no longer be a good prediction of the fish population at a given time. Below, find three possible differential equations that model the population of the fish in the hatchery, under the new assumption that people will be allowed to fish at the hatchery. Which of the three differential equations best models the new situation and why did you choose this one? (Assume the constant k represents the annual harvesting rate.) (a) dP dr - 2P (1-P) dt 25 - kP (b) dP=2P (1-P₂-k) dt 25 (c) d=2P (1-P)-k dt 25 Based on the differential equation you chose from Question 2, prepare a one page report for the CEO of the corporation that explains the implications that various choices of the annual harvesting rate k will have on future fish populations. You may include graphical representations in your report, but you must explain,…

Part B and D needed to be solved correctly in 30 minutes and get the thumbs up please show neat and clean work for it For part B show that (-1 ,y= 0 ) is also possible Solution For part D (-1,y=+-1) Is Also possible solution By hand solution needed only Please do Correctly

Consider the situation depicted in Figure 2, in which an object is placed in a room whose temperature T is itself changing according to Newtons law of cooling. In this case, we must solve the system of differential equations