dx x1/2 + x2/3 6 ln (x1/3) + 3(x1/3 - 2x1/6) +C 6 ln (1 + x¹/6) + 3(x1/3 - 2x1/6) + C Evaluate (A) B ©6ln (x1/6) + 3x1/3 - 6x¹/6 + C C D E none of the choices using rationalizing substitution. 3 In (1 + x1/3) + 3x1/3 - 2x1/6 + C

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
dx
x1/2 + x2/3
6 ln (x1/3) + 3(x1/3 - 2x1/6) +C
6 ln (1 + x1/6) + 3(x1/3 - 2x1/6) + C
6 In (x1/6) + 3x1/3 - 6x1/6 + C
3 In (1 + x1/3) + 3x1/3 - 2x1/6 +C
Evaluate
B
using rationalizing substitution.
E) none of the choices
Transcribed Image Text:dx x1/2 + x2/3 6 ln (x1/3) + 3(x1/3 - 2x1/6) +C 6 ln (1 + x1/6) + 3(x1/3 - 2x1/6) + C 6 In (x1/6) + 3x1/3 - 6x1/6 + C 3 In (1 + x1/3) + 3x1/3 - 2x1/6 +C Evaluate B using rationalizing substitution. E) none of the choices
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