[Java] What are the differences between constructors and methods

The important difference between constructors and methods is that constructors create and initialize object that don't exist yet, while methods perform operations on objects that already exist.
Constructors can't be called directly; they are called implicitly when the new keyword creates an object. Methods can be called directly on an object that has already been created with new.

The definitions of constructors and methods look similar in code. They can take parameters, they can have modifiers (e.g. public), and they have method bodies in braces.
Constructors must be named with the same name as the class name. They can't return anything, even void (the object itself is the implicit return).

Methods must be declared to return something, although it can be void.

Let have a table to compare the differences between constructors and methods:

Constructor	method
Used to initialize the state of object.	Expose the behaviour of object.
Must not have return type	Must have return type
Constructor name same as the class name where	method may or may not the same class name.
Constructor invoke implicitly	Method invoke explicitly.
Constructor compiler provide default constructor.	method compiler does't provide.

Remarks
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Reference:
1) Introduction to Java Programming, Y. Daniel Liang
2) http://stackoverflow.com/questions/19061599/methods-vs-constructors-in-java