Print following commands in browser console and you can see diference:
1) Date.parse("2013/05/29")
//return number of milliseconds between January 1, 1970 https://developer.mozilla.org/en-US/docs/Web/JavaScript/Reference/Global_Objects/Date/parse
2) new Date("2013/05/25")
//return DateTime object
solved Difference between Date parse and differencing the date [duplicate]