jquery masked input plugin date formatting

I'm using the masked input plugin
http://digitalbush.com/projects/masked-input-plugin/

Example 1

I have this fiddle
http://jsfiddle.net/L8btddb1/

HTML
<input id="date" type="text"></input>

JavaScript
$("#date").mask("99/99/9999");

When I apply the above date format mask on the textbox it works fine.


Example 2

Now I revised example 1 to this. I am basically setting a default value on the texbox.
This is how i need the textbox to be on page load.

http://jsfiddle.net/sh1mtce5/

HTML
<input id="date" type="text" value="11/5/2017"></input>

JavaScript
$("#date").mask("99/99/9999");

The masking is getting set on the textbox but notice how the default value doesn't display on the textbox on page load.

It only works if i set the days to double digits like this:

<input id="date" type="text" value="11/05/2017"></input>

How do I fix example 2,
so regardless whether the textbox value is single digits value="11/5/2017" or double digits value="11/05/2017" it will display on the masked textbox on page load?