1. The problem statement, all variables and given/known data So in my notes it says that the general solution to a system of linear equations: x1'(t) = a11x1(t) + a12x2(t) x2'(t) = a21x1(t) + a22x2(t) is: x(t) = c1eλ1tv1 + c2eλ2tv2 What I don't understand is how you go from the system of equations to the general solution, the notes did not explain how. This was for my linear algebra class and I have never taken a differential equation class. However I am familiar with calculus so could someone please explain this? I know how to solve the general solution, just not sure how it was derived. Thanks!