Solve Round Your Results to Four Decimal Places $\mathrm { dx } = 0.5$

Solve. Round your results to four decimal places.
-Use the Euler method with $\mathrm { dx } = 0.5$ to estimate $\mathrm { y } ( 5 )$ if $\mathrm { y } ^ { \prime } = \mathrm { y } ^ { 2 } / \sqrt { 2 \mathrm { x } }$ and $\mathrm { y } ( 4 ) = - 3$ . What is the exact value of $\mathrm { y } ($ 5) ?

A) $\mathrm { y } \approx - 1.3840$ , exact value is $- 0.0956$
B) $\mathrm { y } \approx - 1.5370$ , exact value is $- 0.0873$
C) $\mathrm { y } \approx - 1.0781$ , exact value is $- 0.0977$
D) $\mathrm { y } \approx - 1.1546$ , exact value is $- 0.1019$