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8. Find the values of ao and a₁ such that 1 y = a[¹-x ² - - x* ___ + {[(x + x ² - - x 3 2 3 is a series solution to the IVP: (2-x²)y" + 2(x-1)y' + 4y = 0, y(0) = 2, y'(0) = 4

8. Find the values of ao and a₁ such that 1 y = a[¹-x ² - - x* ___ + {[(x + x ² - - x 3 2 3 is a series solution to the IVP: (2-x²)y" + 2(x-1)y' + 4y = 0, y(0) = 2, y'(0) = 4

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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8. Find the values of ao and a₁ such that 1 x = a, [¹ - x² = x '-_-_-] + a{[(x + x³ = -x] [1-x². y ao 1 3 3 is a series solution to the IVP: (2-x²)y" + 2(x-1)y' + 4y = 0, y(0) = 2, y'(0) = 4
Transcribed Image Text:8. Find the values of ao and a₁ such that 1 x = a, [¹ - x² = x '-_-_-] + a{[(x + x³ = -x] [1-x². y ao 1 3 3 is a series solution to the IVP: (2-x²)y" + 2(x-1)y' + 4y = 0, y(0) = 2, y'(0) = 4
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