n #2: Continuing from the system of differential equations from Problem 1, each eigenvector represents a grouping of animals that changes with simple exponential growth or decay. The exponential rate of growth or decay is given by the corresponding eigenvalue. Because the matrix A is invertible and diagonalizable, any initial values for the animal population can be written as a combination of these four special groupings that each grow exponentially by their eigenvalue. Consider the initial population y(0) = [21 18 13 64]. Solve for constants cj through c4 in order to write y(0) = c1x1 + c2x2 + 03x3 + C4X4 where x1 through x4 are the eigenvectors as detailed in Problem 1 (i.e., the eigenvectors in order, and scaled so that the first component is 1). Enter the values of c1, C2, c3, and c4, separated with commas. Problem #2: Just Save Submit Problem #2 for Grading Problem #2 Attempt #1 Attempt #2 Attempt # 3 Your Answer: Your Mark