In applications, most initial value problems will have a unique solution. In fact, the existence of unique solutions is so important that there is a theorem about the existence and uniqueness of a solution. Consider the initial value problem =f(x, y), y(x) = yo. If and are continuous functions in some rectangle R= {(x, y):a Required:
Use the method of separation of variables to find the solution to dy/dx =y^1/3