Word Count : 441

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We are asked to solve the system numerically: [ \frac{dy}{dt} = A y, \quad y(0) = \begin{bmatrix}1\1\1\end{bmatrix}, \quad A = \begin{bmatrix}2 & -5 & -11 \ 0 & -2 & -9 \ 0 & 1 & 4\end{bmatrix}. ] We will use Euler’s method for a manual numerical solution. Let’s choose a step size (h = 0.1) for demonstration. --- The Euler formula for systems: [ y_{n+1} = y_n + h A y_n ] _________ _____ _______ ______ _____.
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