Find the number of integer solutions of the equation  using the generating function technique.

To solve this equation using generating functions, we can represent each variable \( x_i \) as a generating function:

\[ (1 + x + x^2 + \cdots) \]

Since \( x_1 \) can range from -4 to positive infinity, its generating function will be:

\[ (1 + x + x^2 + \cdots + x^4) \]

Similarly, for \( x_2, x_3, \) and __________ ________ __________ _____ ___ _______ _________.
_______ ________ ________ _____ ______.
____ ______ _________ ________ __________ _________ ________ ______ _______ ______.
__________ _________ ___ _________ ____ _____ ___.
_______ _________ __________ __________ _____ ________ _________ _______ ___ ________ _________ ____.
______ ____ ______ ____ _________ _________ ______ __________ __________ ____.
_______ ______ ______ __________ __________.
_________ _________ _________ ______ __________ _____ __________.
________ ______ ________ _____ ________ ________ __________ ______ _____ ____ ____ _____.
____ _________ __________ __________ _______ ___ ______ _____ ______ ____ ______.
_____ ________ ___ ______ _______ ______ ________ _____ ______.
________ ____ ______ ____ _________ ____ ___ ___ ___.
___ _______ _____ ___ _______ _____ ____ _______ _________ _________.
________ _____ __________ _________ _______ _____ ___ _____ _______ _______ _____.
_______ ______ _________ _______ ____ _________.
_____ ______ _________ ____ ___ ______ _______ _____ __________ _____ ____.
______ ________ _____ ______ ___ ________.
____ ______ ________ ________ _________ ___ ______ __________ ___ _______.
_____ _________ _________ _______ _____ ________ ________ ____.
_________ __________ _______ _______ _____ _________ ___ ____ ___.
_____ ________ ______ _______ __________.
__________ __________ __________ ___ _________.
____ _____ _________ _____ _______ ___ ________ ___ _____ _______.
_____ ____ ___ ____ _________ _________ ______ _________ _____.
_____ ________ ____ _______ ______ _____ ____ ______ __________ _____ _______.
_______ ________ _______ ___ ________ ______ ________ _____ ____ __________ ___.
_____ __________ _________ _________ _____ ___ ______ ____ __________ __________.
_____ _______ ______ ________ _____ _____ _________ __________ _________ ______.
_________ __________ ___ _____ ____ _______.
______ __________ ____ ____ ________ _______ ___.
__________ ___ __________ ____ _____ ____ ___.
_______ ________ _____ ________ ______ _______ ________ ______.
_________ __________ _________ _______ _____ _______ _______.
___ _________ _____ ____ ______ ____ ________ ________ _________ ________ _________.
__________ ______ _______ ________ __________ __________ ________ ______ ____.
_____ ___ ____ ____ ________ ____ ____ ____ __________ ___.
_______.
Get Full Answer on WhatsApp