We will focus on the case where x can be solved for explicitly, i.e., the equation takes the form x = f(t, x, x, . . . , x), and where the function f mapping a subset of R×(F) into F is continuous. This equation is called an m-order n × n system of ODE’s. Note that if x is a solution defined on an interval I ⊂ R then the existence of x on I (including one-sided limits at the endpoints of I) imp...
