2. Use Euler's method to approximate the first three steps of a ten-step approximation to dy 2x+1 from the initial position y(1) = 5. dx y-3' solution at x=2 for =

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2. Use Euler's method to approximate the first **three** steps of a ten-step approximation to the solution at \( x = 2 \) for 

\[
\frac{dy}{dx} = \frac{2x+1}{y-3}
\] 

from the initial position \( y(1) = 5 \).
Transcribed Image Text:2. Use Euler's method to approximate the first **three** steps of a ten-step approximation to the solution at \( x = 2 \) for \[ \frac{dy}{dx} = \frac{2x+1}{y-3} \] from the initial position \( y(1) = 5 \).
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