In this problem the last two digits of your student number will be important. Let n be a number equal to the last digit of your student number, n be a number equal to the last two digits of your student number. That is, if the last two digits of your student number is 83 then, n = 3, n = 83. Consider the predator-prey equations: dx =ax-bxy dt dy -- cx+dxy dt n with initial conditions x (0)=2+ and y(0)=1+ In the equations a, b, c, d are constants and their n 10 n 100' n values are given by: a=2+- b=a* 0.7+- c=2d=2 100 Using midpoint method and a step size of h = 0.25, solve the predator-prey equations until t becomes 6. For the solutions you can only use a calculator and you have to show all the details. Submissions involving a solution obtained using a Matlab/Octave script (and/or a function) or any other computer program will not receive any points. After you complete the solution, load your results into Matlab/Octave or MS Excel or a similar spread-sheet program and produce two figures. The first figure should have x vs. t and y vs. t on the same graph and the second figure should contain y vs. x plot.