Solve Round Your Results to Four Decimal Places $d x = 0.5$

Solve. Round your results to four decimal places.
-Use the Euler method with $d x = 0.5$ to estimate $y ( 4 )$ if $y ^ { \prime } = y ^ { 2 } / \sqrt { 2 x }$ and $y ( 3 ) = - 1$ . What is the exact value of $y$ ( 4) ?

A) $\mathrm { y } z - 0.8680$ , exact value is $- 0.2012$
B) $\mathrm { y } \approx - 0.6762$ , exact value is $- 0.2056$
C) $\mathrm { y } \approx - 0.7241$ , exact value is $- 0.2143$
D) $\mathrm { y } \approx - 0.9640$ , exact value is $- 0.1838$