# Problem 5.3-49
# Eigenanalysis method for u'=Au.A:=<139,-14,-52,-14,28|-22,5,7,8,-7|370,-38,-139,-38,76|152,-16,-59,-13,35|95,-10,-38,-7,23>^+;linalg[eigenvects](A);u0:=<10,0,0,0,0>;LinearAlgebra[MatrixExponential](A,t).u0;TTdSMApJQVJUQUJMRV9TQVZFLzE4NDQ2ODg0MzI4NTUzODAyMDc4WCwlKWFueXRoaW5nRzYiRiVbZ2whIiUhISEjOiImIiYiJFIiISNBIiRxJCIkXyIiIyYqISM5IiImISNRISM7ISM1ISNfIiIoISRSIiEjZkYtRisiIilGLSEjOCEiKCIjR0Y2IiN3IiNOIiNCRiU=TTdSMApJQVJUQUJMRV9TQVZFLzE4NDQ2ODg0MzI4NDEwMjg1MzUwWColKWFueXRoaW5nRzYiRiVbZ2whIyUhISEiJiImIiM1IiIhRidGJ0YnRiU=TTdSMApJQVJUQUJMRV9TQVZFLzE4NDQ2ODg0MzI4MzgzNzQxMjE0WColKWFueXRoaW5nRzYiRiVbZ2whIyUhISEiJiImLCgtSSRleHBHNiQlKnByb3RlY3RlZEclKF9zeXNsaWJHNiMsJCUidEchIiQhJCsiLUYoNiMsJEYuIiIkIyEjXUY0LUYoNiMsJEYuIiIqIyIkIVFGNCwoIiMmKiIiIkYxIyEkXSRGNC1GKDYjLCRGLiIiJyMiI2xGNCwoRichJCskRjFGNUY3IyIkXSpGNCwsIyEjJipGNEY/RidGMEYxRjVGQkZGRjdGOywsI0Y+RjRGP0YnRjBGMUY1RkJGRkY3IyIkIT5GNEYl