Use Euler's Method with Step Size $0.25$ To Estimate $y ( 1 )$

question 46

Multiple Choice

Use Euler's method with step size $0.25$ to estimate $y ( 1 )$ , where $y ( x )$ is the solution of the initial-value problem. Round your answer to four decimal places. Select the correct answer.
$$y ^ { t } = 3 x + y ^ { 2 } , y ( 0 ) = 0$$

• A) \(y ( 1 ) = 2.7154\)
• B) \(y ( 1 ) = 2.2154\)
• C) \(y ( 1 ) = 3.7154\)
• D) \(y ( 1 ) = 1.2154\)

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