Find a 3rd degree Taylor's polynomial that will approximate the solution to: y' = x + y; y(1)=1. Polynomial ______________ a) y=1+2x+3/2 x2 + 1/2 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+1/2(x-1)+3/2 (x-1)2 + 1/6 (x-1)3 Find y(3) _______________ a) 13 b) 14 c) 15 d) 16 Write only the letter that corresponds to the correct answer.

Find a 3rd degree Taylor's polynomial that will approximate the solution to: y' = x + y; y(1)=1. Polynomial a) y=1+2x+3/2 x2 + 1/2 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+1/2(x-1)+3/2 (x-1)2 + 1/6 (x-1)3 Find y(3) _ a) 13 b) 14 c) 15 d) 16 Write only the letter that corresponds to the correct answer.

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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Question

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Find a 3rd degree Taylor's polynomial that will approximate the solution to: y' = x + y; y(1)=1.

Polynomial ______________

a) y=1+2x+3/2 x² + 1/2 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+1/2(x-1)+3/2 (x-1)² + 1/6 (x-1)³

Find y(3) _______________

a) 13 b) 14 c) 15 d) 16

Write only the letter that corresponds to the correct answer.

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