Find the the solution of the differential equations...y

0 =

2y − x

2x − y

,

The given problem seems to be asking for the solution of a system of differential equations represented as:

\[
\begin{cases}
0 = 2y - x \\
0 = 2x - y
\end{cases}
\]

This is a system of linear equations, not differential equations. Let's solve it:

### Step 1: Set up the equations
From the first equation:

\[
2y - x = 0
\]

From the second equation:

\[
2x - y = 0
\]

### Step 2: Solve

Find the solution of the differential equations: 0 = 2y − x, 0 = 2x − y.

Explore the solution to the system of linear equations: 0 = 2y − x and 0 = 2x − y. This example demonstrates solving systems of equations using substitution and matrix methods, ideal for high school students in Grades 10-12.

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