Solved: In 1–4 construct a table comparing the indicated

Chapter , Problem 2RP

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In Problems 1–4 construct a table comparing the indicated values of y(x) using Euler’s method, the improved Euler’s method, and the RK4 method. Compute to four rounded decimal places. First use h = 0.1 and then use h = 0.05.

\(y^{\prime}=\sin x^{2}+\cos y^{2}\), y(0) = 0; y(0.1), y(0.2), y(0.3), y(0.4), y(0.5)

Text Transcription:

y^prime=sin x^2+cos y^2

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