1. On what interval does the Existence and Uniqueness Theorem (Theorem 5.1.3 in the course notes) guarantee there is a unique solution to the initial value problem y' =A(z)y +b(z), y(1)=yo where e 3" 22 tan(1 + z) 5 . 23+ 322+ 3 5 A= |cos(z?) 10v/2-22 2%2+4ez |, b= e' 45 , Yo=| 2 m e sin(z) sin(l+ x) 2 sin(2x) -10 Justify your answer. You need to find the interval Z in the theorem that applies to this