Use a numerical solver and Euler's method to obtain a four-decimal approximation of the indicated value. First use h = 0.1 and then use h = 0.05. y' = x² + y², y(0) = 2; y(0.5) (h= 0.1) (h = 0.05) y(0.5) = 2.977 y(0.5) 11.1831 X X Need Help? Read It Watch It

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Use a numerical solver and Euler's method to obtain a four-decimal approximation of the indicated value. First use h = 0.1 and then use h = 0.05.
y' = x² + y², y(0) = 2; y(0.5)
(h= 0.1)
(h= 0.05)
y(0.5) = 2.977
y(0.5) 11.1831
X
X
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Transcribed Image Text:Use a numerical solver and Euler's method to obtain a four-decimal approximation of the indicated value. First use h = 0.1 and then use h = 0.05. y' = x² + y², y(0) = 2; y(0.5) (h= 0.1) (h= 0.05) y(0.5) = 2.977 y(0.5) 11.1831 X X Need Help? Read It Watch It
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