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Consider the system$$\begin{cases}\dfrac{dx}{dt} = x - y \\ \dfrac{dy}{dt} = x + y\end{cases}$$with initial conditions \(x(0)=1\), \(y(0)=0\). Use Euler's method with step size \(h=0.2\) to approximate \(x(0.4)\) and \(y(0.4)\) after two steps.
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