(6 points) In MATH225, we learned that systems of linear, ordinary, homogeneous, constant-coefficient differential equations can be solved by finding the eigenvalues and eigenvectors of the system's coefficient matrix. As a reminder, consider the system: y₁(t)=3y1-2y2 y2(t) = -y1 +4y2 3 The coefficient matrix for this system is A = The eigenvalues for this -1 4 matrix are A₁ = 2 and 2 = 5. The corresponding eigenvectors are v₁ = V2= 0.7071 -0.7071 The general solution ot the system is -0.8944 0.7071 y(t) = c₁ e2t+Cz est -0.4472 -0.7071 -0.8944 and -0.4472 What we learned in MATH225 about small linear systems generalizes to larger linear sys- tems. Using MATLAB to find the eigenvalues and eigenvectors, find the general solution of the following system of three differential equations: y(t)=-2y1-4y2 +2y3 2(t)=-2y1+2+2y3 y(t)=4y1+2y2 +5y3