NO. 4 Consider the following initial value problem, Y'(t) = {Y(t)}², 1≤t≤ 10 A. Estimate y(1.2) using Euler's method and h = 0.1. B. Estimate y(1.2) using Euler's method and h = 0.05. Y(1) = 1.

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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NO. 4
Consider the following initial value problem,
Y'(t) = {Y(t)}²,
1≤t≤ 10 Y(1) = 1.
A. Estimate y(1.2) using Euler's method and h = 0.1.
B. Estimate y(1.2) using Euler's method and h = 0.05.
C. Estimate y(1.2) using Richardson's extrapolation formula and h = 0.1.
D. If y(t) = , compute the errors in above cases.
Transcribed Image Text:NO. 4 Consider the following initial value problem, Y'(t) = {Y(t)}², 1≤t≤ 10 Y(1) = 1. A. Estimate y(1.2) using Euler's method and h = 0.1. B. Estimate y(1.2) using Euler's method and h = 0.05. C. Estimate y(1.2) using Richardson's extrapolation formula and h = 0.1. D. If y(t) = , compute the errors in above cases.
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