Consider the initial value problem: y (t) = cos(y(t)) + y(t)t³ – 4 with y(-1) = b. If Euler's method with 10 intervals is used to find an approximation for y(1), it is found that y6 = -5.9955 rounded to 5 significant digits. Use this information to obtain the ap- proximation for y(1) correct to 5 significant digits. Round each step to 5 significant digits.

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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Consider the initial value problem:
y (t) = cos(y(t)) + y(t)t³ – 4 with y(-1) = b.
If Euler's method with 10 intervals is used to find an approximation for y(1), it is found
that ye = -5.9955 rounded to 5 significant digits. Use this information to obtain the ap-
proximation for y(1) correct to 5 significant digits. Round each step to 5 significant digits.
Transcribed Image Text:Consider the initial value problem: y (t) = cos(y(t)) + y(t)t³ – 4 with y(-1) = b. If Euler's method with 10 intervals is used to find an approximation for y(1), it is found that ye = -5.9955 rounded to 5 significant digits. Use this information to obtain the ap- proximation for y(1) correct to 5 significant digits. Round each step to 5 significant digits.
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