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

question 87

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 $x ^ { * }$ .
- $y ^ { \prime } = y - e ^ { - 3 x } , y ( 0 ) = 2 , d x = 1 / 3 , x ^ { * } = 2$

• A) Euler's method gives \(y \approx 9.4866\); the exact solution is \(13.3004\)
• B) Euler's method gives \(y \approx 9.2983\); the exact solution is \(12.9315\)
• C) Euler's method gives \(y \approx 8.9605\); the exact solution is \(12.3212\)
• D) Euler's method gives \(y \approx 8.2740\); the exact solution is \(11.1513\)

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Definitions:

Information Processing Theories

Theories that describe how humans perceive, think, learn, and remember information, emphasizing the mental processes involved.

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Theories that emphasize the reciprocal influences between individuals and their environment in shaping behavior.

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Theories that explain how genes and hereditary factors influence physical traits, behaviors, and diseases.

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