MULTIPLE CHOICE $x$ Find the Value of the Exact Solution At the Statement

Multiple Choice

MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Use Euler's method with the specified step size to estimate the value of the solution at the given point $x$ . Find the value of the exact solution at $x ^ { * }$ .
- $$y ^ { \prime } = 3 y ^ { 2 } / \sqrt { 2 x } , y ( 1 ) = - 1 , d x = 0.5 , x ^ { * } = 5$$

A) Euler's method gives $\mathrm { y } \approx 0.0821$ ; the exact solution is $- 0.1601$
B) Euler's method gives $y \approx - 0.1949$ ; the exact solution is $- 0.2594$
C) Euler's method gives $y \approx - 0.0879$ ; the exact solution is $- 0.1893$
D) Euler's method gives $\mathrm { y } \approx - 0.1482$ ; the exact solution is $- 0.2224$