Network Analysis The figure shows the flow of traffic(in vehicles per hour) through a network of streets.(a) Solve this system for xi, i = 1, 2, . . . , 5.(b) Find the traffic flow when x2 = 200 and x3 = 50.(c) Find the traffic flow when x2 = 150 and x3 = 0.

Math 340 Lecture – Introduction to Ordinary Differential Equations – March 28 , 2016 th What We Covered: 1. Worksheet 9 a. Highlights i. We went over a lot of the problems in class but the rest of the work sheet was homework so I won’t be giving the answers on here 2. However, the general way to solve the problems on the work sheet and for the upcoming quiz is: a. Assuming you have the equation = where A is a square matrix i. First, find the eigenvalue = (−1) det − = 0 ii. From there we can find the eigenvector by ( − ) b. We can then format the final solution exponentially: