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Let $\dfrac{dy}{dx}=4x-3y$ and $y\left(1\right)=3$.

If Euler's Method is used with step size $\Delta x=0.5$, what is the approximated value of $y\left(2.0\right)$?

A

$0.5$

B

$-2.5$

C

$2.25$

D

$2.75$

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