1. The problem statement, all variables and given/known data find the state transition matrix of a time varying system where: dX/dt = A*X with A = [-1 , exp(-t - (t^2)/2) ; ; 0 , t] (Matlab format - sorry but its easier) 2. Relevant equations How to go about solving such problems in a systematic way??? 3. The attempt at a solution I've found eigen values of (-1) and (t), and associated eigen vectors of [1 ,0]T and [exp(-t - (t^2)/2) , (t+1)]T......which lead me to one solution vector of [exp(-x) , 0]T....and having trouble getting the other one. HOWEVER, i'm just "bushwhacking" here....I need some help in figuring out a systematic approach. Thanks!!