The

row is filled by just plugging in the corresponding values of

and

into the ODE.
For example, when

and

, you have

and so on.
A is 3 square root 2
Since 3*6 is 18
Find the factors of 18
So we have 9 and 2
9 is a perfect square so it’s 3 with 2 inside radical
Multiply the top one by 3 for x, so you can eliminate x and find y
then plug in the y into one of the equations to find x