Using the Improved Euler Method with a Step Size Of h

question 24

Multiple Choice

Using the improved Euler method with a step size of $h = 0.1$ , the solution of $y ^ { \prime } = 1 - y ^ { 2 } , y ( 0 ) = 0$ at $x = 0.1$ is

• A) \(y _ { 1 } = 0.095\)
• B) \(y _ { 1 } = 0.995\)
• C) \(y _ { 1 } = 0.95\)
• D) \(y _ { 1 } = 0.00995\)
• E) \(y _ { 1 } = 0.0995\)

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