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Find a 3rd degree Taylor's polynomial that will approximate the solution to: y' = x2 + y; y(1)=1. Polynomial a) y=1+2x+3/2 x2 + x³ b) y=1+1/2x+3/2 x² + 1/6 x3 c) y=1+2(x-1)+3/2 (x-1)2 + 1/2 (x-1)3 d) y=1+2(x-1)+2 (x-1)2 + (x-1)3 Find y(3) a) 21 b) 22 c) 23 d) 24 Write only the letter that corresponds to the correct answer.

Find a 3rd degree Taylor's polynomial that will approximate the solution to: y' = x2 + y; y(1)=1. Polynomial a) y=1+2x+3/2 x2 + x³ b) y=1+1/2x+3/2 x² + 1/6 x3 c) y=1+2(x-1)+3/2 (x-1)2 + 1/2 (x-1)3 d) y=1+2(x-1)+2 (x-1)2 + (x-1)3 Find y(3) a) 21 b) 22 c) 23 d) 24 Write only the letter that corresponds to the correct answer.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Find a 3rd degree Taylor's polynomial that will approximate the solution to: y' = x2 + y; y(1)=1. Polynomial a) y=1+2x+3/2 x2 + x³ b) y=1+1/2x+3/2 x² + 1/6 x3 c) y=1+2(x-1)+3/2 (x-1)2 + 1/2 (x-1)3 d) y=1+2(x-1)+2 (x-1)2 + (x-1)3 Find y(3) a) 21 b) 22 c) 23 d) 24 Write only the letter that corresponds to the correct answer.
Transcribed Image Text:Find a 3rd degree Taylor's polynomial that will approximate the solution to: y' = x2 + y; y(1)=1. Polynomial a) y=1+2x+3/2 x2 + x³ b) y=1+1/2x+3/2 x² + 1/6 x3 c) y=1+2(x-1)+3/2 (x-1)2 + 1/2 (x-1)3 d) y=1+2(x-1)+2 (x-1)2 + (x-1)3 Find y(3) a) 21 b) 22 c) 23 d) 24 Write only the letter that corresponds to the correct answer.
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