Consider the system of differential equations y1 12y1 6y2

Consider the system of differential equations y_1\' = -12y_1 + 6y_2, y\' = -15y_1 + 6y_2, | Rewrite this system as a matrix equation vector t y\' = A vector y vector y\' = | vector y Compute the eigenvalues of the coefficient matrix Al and enter them as a comma separated list.

Solution

y1’ = -12y1 + 6y2

y2’ = -15y1 + 6y2

Matrix form = y’ = [-12           6] y

                               [-15          6]

Eigen values = -3 + 3i, -3 – 3i