1. Consider the following equation y(t) = yo + f(s,y(s)) ds, 0 Prove : where yo = y(0). If f(t, y) and of ay are continuous function of t and y in { (t, y) : It - 0| 0,b > 0, then there exists a unique soution to the above equation on an interval It - 0| 0.2. Suppose that A is an n x n matrix with | Allop