I'm not sure how long you want this, but I did it when x = 0 all the way to when x = 5.
x y
0 5
1 4
2 3
3 2
4 1
5 0
X=-2/5
Steps:
6^x/3 +2 = 6^-14x/3
x/3+2 = -14x/3.
x +6 = -14x (multiply both sides by 3)
x = -14x - 6 (Substract 6 from both sides)
x + 14x = -6 (add 14x to both sides)
15x = -6 (collect like terms)
x = -2/5 (divide both sides by 15)
Answer: The equation to solve is:
(x3y3+x2y2+xy+1)ydx+(x3y3−x2y2−xy+1)xdy=0
t3−t2−t+1t3+t2+t+1dt=dxx
any more help just ask :)
The answer is 5/3 due to the stay change flip rule