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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
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solved Difference between Date parse and differencing the date [duplicate]