Getting all DateTimes between two 'DateTime's in C#

I have two DateTimes, and I want to get all DateTimes between these Dates. Such as, if my Dates are like 01.01.2010 - 05.01.2010, my function should return me a list of date (List), and it must contain 01.01.2010, 02.01.2010, 03.01.2010, 04.01.2010, and 05.01.2010.

I wrote a function like this. It works fine, if my dates are in a month. It won't work if my dates are like 01.01.2010 - 05.02.2010. Because the month changed, and my function can't handle it. Is there a function in C# that returns all dates between two dates? Or how can I handle month change?

public void GetAllDatesAndInitializeTickets(DateTime startingDate, DateTime endingDate)
    {
        List<DateTime> allDates = new List<DateTime>();

        int starting = startingDate.Day;
        int ending = endingDate.Day;

        for (int i = starting; i <= ending; i++)
        {
            allDates.Add(new DateTime(startingDate.Year, startingDate.Month, i));
        }

Question solved, see Tim Robinson's simple answer to use.