On representing the general solution with the special solutions for the diophantine equation
here $a_1 ,a_2, \dotsb,a_n,c\in\Bbb Z,(a_1 ,a_2, \dotsb,a_n)=1$.
Can we find the general solution? We all know, $n=2$, the general solution is $x=x_0-a_2t,y=y_0+a_1t$.
How about $n\geq 3$? It doesn't exist such a formula, does it?