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you guys got different answers for question 5 part 2, which one is it?

you guys got different answers for question 5 part 2, which one is it?

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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you guys got different answers for question 5 part 2, which one is it?

ㅠ 22 22 =) 오픈 ()() 6 =) d²y da) (toll) 1d²y (dar) (vor¹) = + - - 시 32-240 11 324 11 162 824 11 972 121 X +132 = 0 22 11 = 0
Transcribed Image Text:ㅠ 22 22 =) 오픈 ()() 6 =) d²y da) (toll) 1d²y (dar) (vor¹) = + - - 시 32-240 11 324 11 162 824 11 972 121 X +132 = 0 22 11 = 0
Put (11) in en ® # (5) 1+1)(4) = (퉁 +1) (pdfaul) 2) 공 → ) → / (deus) + 유 36 dx → 풍 (dy) cdxg + (동+1). 36x6 121 ㅕ 1 (2) * x 2015-10 16:0 X 86x6 शि U 1x20) 2) 풍 (1882) - 10 6 11 +6a)-1)-() + (語) +6.6%)42) 20.1 +(1+5.1) 0 (using dy 니 dy at 화 (1) ) 86-120+66 11 -120 +6=0 U - 108 → (1명). (11) 121 ² (1202) 끙 papy 18 dx 1x 마음 ㅠ , 1) 20 18×6 dx2 (21) 111 6 1.1 a 120 +6=0 11 - 6V6 -
Transcribed Image Text:Put (11) in en ® # (5) 1+1)(4) = (퉁 +1) (pdfaul) 2) 공 → ) → / (deus) + 유 36 dx → 풍 (dy) cdxg + (동+1). 36x6 121 ㅕ 1 (2) * x 2015-10 16:0 X 86x6 शि U 1x20) 2) 풍 (1882) - 10 6 11 +6a)-1)-() + (語) +6.6%)42) 20.1 +(1+5.1) 0 (using dy 니 dy at 화 (1) ) 86-120+66 11 -120 +6=0 U - 108 → (1명). (11) 121 ² (1202) 끙 papy 18 dx 1x 마음 ㅠ , 1) 20 18×6 dx2 (21) 111 6 1.1 a 120 +6=0 11 - 6V6 -
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can you please also answer part 3 and 4 of this question?

Suppose that y(x) is defined implicitly as a function of x by the following equa- tion: x² + 5x²y² + y² = 2 Note that (x, y) =(,1) satisfies this equation. Assume a > 0) and y > 0. i. Find an expression for dy/dx and evaluate it at (,1). ii. Find an expression for dy/de² and evaluate it at (1). iii. Find a second order Taylor approximation of y(x) about x √6 iv. Graph the approximating function you derived in iii.
Transcribed Image Text:Suppose that y(x) is defined implicitly as a function of x by the following equa- tion: x² + 5x²y² + y² = 2 Note that (x, y) =(,1) satisfies this equation. Assume a > 0) and y > 0. i. Find an expression for dy/dx and evaluate it at (,1). ii. Find an expression for dy/de² and evaluate it at (1). iii. Find a second order Taylor approximation of y(x) about x √6 iv. Graph the approximating function you derived in iii.
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