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Consider the non-linear system$$\begin{cases}\dfrac{dx}{dt} = y \\ \dfrac{dy}{dt} = -x + y^2\end{cases}$$with initial conditions \(x(0)=0\), \(y(0)=1\). Use Euler's method with step size \(h=0.1\) to approximate \(x(0.3)\) and \(y(0.3)\) after three steps.
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