How can I do this in MATLAB?

So my professor wants the following practice problem done in MATLAB:

Given a system of equation:

And then the question:

Answer 1

[Nicolas Schmit]

This is how you solve a non-stiff ODE

Solve Nonstiff ODEs

Note that there is a closed-form solution for these equations. You can find a linear combination of x and y which decouples the system.