Question $6$

Use Euler's method to calculate the first three approximations to the given initial value problem for the specified increment size. Round your results to four decimal places.

$y^{\text{'}}=1\frac{y}{x},y(4)=0,h=0\mathrm{.}5$

$y_1=0\mathrm{.}7500,y_2=1\mathrm{.}2667,y_3=1\mathrm{.}9933$

$y_1=0\mathrm{.}5000,y_2=1\mathrm{.}0556,y_3=1\mathrm{.}6611$

None of the other choices

$y_1=1\mathrm{.}0000,y_2=2\mathrm{.}1111,y_3=6\mathrm{.}6444$

$y_1=1\mathrm{.}0000,y_2=1\mathrm{.}5833,y_3=3\mathrm{.}3222$

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