Use Euler's Method with the Specified Step Size to Estimate $$y ^ { \prime } = 6 x ^ { x ^ { 6 } } , y ( 0 ) = 2 , d x = 0.1 , x ^ { * } = 1$$

question 36

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*.
- $$y ^ { \prime } = 6 x ^ { x ^ { 6 } } , y ( 0 ) = 2 , d x = 0.1 , x ^ { * } = 1$$

• A) Euler's method gives \(y \approx 5.2981\); the exact solution is \(3.7183\)
• B) Euler's method gives \(y \approx 5.8279\); the exact solution is \(3.9901\)
• C) Euler's method gives \(y \approx 3.7183\); the exact solution is \(4.2619\)
• D) Euler's method gives \(\mathrm { y } \approx 4.7683\); the exact solution is \(3.4465\)

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