Use Euler's Method with the Specified Step Size to Estimate $$y ^ { \prime } = 3 y ^ { 2 } / \sqrt { 3 x } , y ( 1 ) = - 1 , d x = 0.5 , x ^ { * } = 5$$

question 54

Multiple Choice

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*.
- $$y ^ { \prime } = 3 y ^ { 2 } / \sqrt { 3 x } , y ( 1 ) = - 1 , d x = 0.5 , x ^ { * } = 5$$

• A) Euler's method gives \(\mathrm { y } \approx - 0.1949\); the exact solution is \(- 0.2594\)
• B) Euler's method gives \(\mathrm { y } \approx 0.0821\); the exact solution is \(- 0.1601\)
• 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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