MAT 343: Assignment 5 Complete the following problem. Use Euler's Method with a step size of h=0.05 to estimate the value of the solution to the following initial value problem up to t = 5. dx1 = 4x1 - 0.5x1x2 x(0) = 1 dt -= -x2 0.1x2 + x1x2x2(0) = 3 dt dx2 As part of your solution; 1. show the first ten iterations necessary to find your solution and show the values (both for X1 and x2) for t = 2, 3, 4, and 5; 2. make a graph (on a separate sheet of paper) of the trajectory (graph of (x1,x2)) corresponding to the approximated) solution of this initial value problem; and 3. verify your curve by graphing the phase plane of this system for 0