APMA 0350 HOMEWORK 8 Problem 1: (2 points) Write the ODE in the form x' = Ax + f yl+ 2y\" _ 4yl+y = 5t Do NOT solve it! Problem 2: (6 = 3 | 3 points) Solve the following systems. Do NOT draw a phase portrait (a) x' = Ax where A = [i :21] (b) 5 1 2 x' = Ax Where A: [3 1] and x(0) = [_1] Problem 3: (4 points) Solve the system and draw a phase portrait by hand ,_ _ 3 2 xAxwhereA[2 _2] Problem 4: (4 points) Solve y" 5y'|6y = 0 by writing it as a system x' = Ax and solving that system. Do NOT use another method to solve this