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Which of the following is a solution of the following equation valid near the origin for x>0? 2x²(1-x)y"-x(1+7x)y'+y=0

Which of the following is a solution of the following equation valid near the origin for x>0? 2x²(1-x)y"-x(1+7x)y'+y=0

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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Which of the following is a solution of the following equation valid near the origin for x>0? x"+1 n=1 (2n + 3) (2n+5) y=-x+ Σ₁ 15 Option 1 00 y=x+(2n-3) (2n- 5) x² + 1 15 n=1 Option 3 2x²(1-x)y"-x(1+7x)y'+y=0 y=x+(2n + 3) (2n + 5) x² +1 15 2=1 Option 2 1 y=-x+ Σ₁ 15 n=1 (-1) "x"+1 (2n-3) (2n-5) O Option 4
Transcribed Image Text:Which of the following is a solution of the following equation valid near the origin for x>0? x"+1 n=1 (2n + 3) (2n+5) y=-x+ Σ₁ 15 Option 1 00 y=x+(2n-3) (2n- 5) x² + 1 15 n=1 Option 3 2x²(1-x)y"-x(1+7x)y'+y=0 y=x+(2n + 3) (2n + 5) x² +1 15 2=1 Option 2 1 y=-x+ Σ₁ 15 n=1 (-1) "x"+1 (2n-3) (2n-5) O Option 4
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