JSFiddle - React, Tailwind, and code Playground

HTML

<script src="https://googledrive.com/host/0By6fcuKzPfO3V2ktVGN2MlBSX3M/js/bootstrap-datepicker.js"></script>
<link rel="stylesheet" href="https://googledrive.com/host/0By6fcuKzPfO3V2ktVGN2MlBSX3M/css/datepicker.css">
<input type="text" class="span2" value="12/12/2013" id="dp">

CSS

@import url("http://getbootstrap.com/2.3.2/assets/css/bootstrap.css");

JavaScript

$("#dp").datepicker();

$("#dp").on("keyup", function(e) {
  var date, day, month, newYear, value, year;
  value = e.target.value;
  if (value.search(/(.*)\/(.*)\/(.*)/) !== -1) {
    date = e.target.value.split("/");
    month = date[0];
    day = date[1];
    year = date[2];
    if (year === "") {
      year = "0";
    }
    if (year.length < 4) {
      newYear = String(2000 + parseInt(year));
      $(this).datepicker("setValue", "" + month + "/" + day + "/" + newYear);
      if (year === "0") {
        year = "";
      }
      return $(this).val("" + month + "/" + day + "/" + year);
    }
  }
});