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Question Number 84263 by Rio Michael last updated on 10/Mar/20

$$\mathrm{Using}\mathrm{the}\mathrm{approximation}$$$$h{\left(\frac{dy}{dx}\right)}_n\approx y_{n+1}-y_n\mathrm{and}\mathrm{that}\frac{dy}{dx}=1,y=2$$$$\mathrm{when}x=0.\mathrm{then},y_1=$$$$\left[\mathrm{A}\right]h-2$$$$\left[\mathrm{B}\right]h+2$$$$\left[\mathrm{C}\right]h-1$$$$\left[\mathrm{D}\right]h+1$$

Answered by mind is power last updated on 11/Mar/20

$$h{\left(\frac{dy}{dx}\right)}_0\approx y_1-y_0$$$$y_1\approx y_0+h{\left(\frac{dy}{dx}\right)}_0=2+1.h=h+2$$

Commented by Rio Michael last updated on 11/Mar/20

$$\mathrm{thanks}$$

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