Let y(t) be the exact solution of a given initial value problem (IVP) at a given t. The approximations of y(t) by Euler's method using the step sizes h and h/2 are -1.67 and -1.65 respectively. Knowing that the theoretical order of convergence of Euler's method is 1, a more accurate approximation by using Richardson's extrapolation is most nearly: None of the answers -1.53 O Option 2 O Option 3 -1.63 -1.42

Algebra and Trigonometry (6th Edition)
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ChapterP: Prerequisites: Fundamental Concepts Of Algebra
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Let y(t) be the exact solution of a given initial value problem (IVP) at a given t.
The approximations of y(t) by Euler's method using the step sizes h and h/2 are -1.67
and -1.65 respectively.
Knowing that the theoretical order of convergence of Euler's method is 1, a more
accurate approximation by using Richardson's extrapolation is most nearly:
None of the answers
-1.53
O Option 2
Option 3
-1.63
-1.42
Transcribed Image Text:Let y(t) be the exact solution of a given initial value problem (IVP) at a given t. The approximations of y(t) by Euler's method using the step sizes h and h/2 are -1.67 and -1.65 respectively. Knowing that the theoretical order of convergence of Euler's method is 1, a more accurate approximation by using Richardson's extrapolation is most nearly: None of the answers -1.53 O Option 2 Option 3 -1.63 -1.42
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