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

question 81

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 \(- 0.2224\)

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A product that can be broken down naturally by microorganisms over time into simpler, less harmful substances.