Is there a big difference between 轻易地 and 轾松地? Can you explain if there is?

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我来补充一下楼上二位的话。
Just adding to what Daniel and Amy was saying,

“轻易地” in some context implied that the object of interest should have been a difficult / challenging feat (yet it was accomplished 轻易地）。
here are some examples. In these sentences, if you are using 轻松地 instead-- although we can understand what you are trying to say, it sounds a lot less natural.

✤ 你怎么能这么轻易地就把我忘了呢？
How could you have forgotten about me already?!
(imply: I'm a very important person to you, forgetting me would be difficult; it has hurt my feelings a great deal)

✤那道题我怎么都不会做，可是Aki没花多长时间就轻易地做出来了。
That problem was so difficult that I couldn't get it done in forever, but it only took Aki a few minutes to easily solve it.
(imply: It's hard for me, the speaker, to reconcile to)

✤身为一个国家的国王，他怎么能轻易地投降呢。
as a king of a kingdom, how can he easily surrender.
(imply: that would be cowardly and unethical.)

✤这东西很危险，千万不要轻易靠近。（地was emitted）
This thing is dangerous, do not approach rashly. 
(rashly: in this sentence you can also replace 轻易 with 贸然)
in this case, using 轻松 would be absolutely wrong.

In all my previous examples, the overtone/ connotations sounded somewhat negative, with degrees ranging from trivial stuff to serious matter. In contrary, 轻松 in many cases simply means the level of difficulty was low.

Then, in what cases 轻松 would be more appropriate?
You can refer back to Amy's answer ("take it easy")

Of course, there are many cases in which they are completely interchangeable. :D

Good luck studying!

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Are you sure that is "轾" ? I think it should be "轻松地“. 
轻易地 ---what you are doing is simple, and there is no problem for you.
"易”means "easy".
轻松的 ---you don't feel tired or exhausted about what you are doing.
"松“ means "relaxed".
Glad to help you.

Answer

qīng yì de 
 轻易地： 毫不费力，轻而易举（effortlessly，easy）
例句：  你可很轻易地跨过那条小河。（You can easily overstride that stream.）
qīng sōng de
  轻松地： 不感到有负担，不紧张（Is not felt to be burdensome，take it  easy）
例句：  他能轻松地用中文表达自己的观点  。（He can express himself easily in Chinese.）

Answer

well, actually in my opinion , there's not a big or significant difference between the two words. 
it seems we use"轻松地/很轻松” in spoken language  more than "轻易地” . the latter one seems used in writen language much. and if you don't understand  the nice distinction when you talk to others, just say "轻松地”。 they'll understand you ,cause this one has a broad statement.

hope helps.