I've been trying to get out this question for a while now:
ai) Show that (x,y,z) = (1,1,1) is a solution to the following system of equations:
x + y + z = 3
2x + 2y + 2z = 6
3x + 3y +3z = 9
aii) Hence find the general solution of the system
b) Express 2x^2 + 3/(x^2 + 1)^2 in partial...