Is there any difference between....

"Try to do something" indicates that you are not doing anything at all. "Try doing something" indicates a suggestion to solve an ongoing problem as in "try doing something [about it]", but in general English parlance, the phrases are used interchangeably.

"try to do something" is the general and "try doing something" is the specific. Of course, I may be wrong.

'Try to finish the book.'
'Try finishing the book.'

The first urges you to complete the task; the second encourages you to have the experience.


(This is only an anecdotal response; it's my bedtime.)