1. The problem statement, all variables and given/known data Find the general solution to the following differential equations y'1 = -12y1 + 13y2 +10y3 y'2 = 4y1 - 3y2 - 4y3 y'3 = -21y1 +21y2 +19y3 3. The attempt at a solution I'm a little unsure about what to do at the end, or what form to put it in. The eigenvalues are λ1 = 5, λ2 = -2, λ3 = 1 and the eigenvectors are v1 = [1, -1, 3], v2 = [1, 0, 1], v3 = [1, 1, 0] (respectively) so once I have that, what do I do? I need to put them into an exponential form like a*eλ2*t*v1 + b*eλ2*t*v2 + c*eλ3*t*v3 ??? I don't understand why, or what this means.