Question

I DONT UNDERSTAND THIS QUESTION AT ALL!!

The steady state temperature, u, of a plate solves Laplace’s equation,
delta
u = 0. One way to approximate the solution is to divide the plate into a square mesh
and require the temperature at each node to equal the average of the temperature at the four
adjacent nodes. In the following picture, the numbers represent the observed temperature at
the indicated nodes. Find the temperature at the interior nodes, indicated by x, y, z, and w.
One of the equations is
= (1/4) (10 + 0 + w + x).

Answer 1

There is also a picture let me draw it