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Question

Use the Euler method with $h=0,1$ and $h=0,05$ to estimate the solution at $t =1$ for the IVP

$\begin{array}{l}{x^{\prime}=x+y} \\ {y^{\prime}=y+z} \\ {z^{\prime}=-y+2 z}\end{array}$

, where $x(0)=1, y(0)=1, z(0)=1$. Comment on the differences in results.

Solution

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