1. The problem statement, all variables and given/known data Solve the matrix of differential equations with given initial values. dx/dt= (-6 2) x (-3 -1) Initial value is x(0) = -2 -5 2. Relevant equations (A-λI)=o 3. The attempt at a solution My eigenvalues are -4 and 3 My eigenvectors for -4 are 1 and 1 and the eigenvectors for -3 are 1 on the top row and 3/2 on the bottom. I write out the equations to look like: C1e^-4t + C2e^-3t C1e^-4t + 3/2C2e^-3t I have IVs of -2 on the top row and -5 on the bottom row. To plug these in correctly,do I use the top row values for the top row equation and same for the bottom? If so, I'm getting C1=4 and C2=-6 but this is wrong in our online homework program.