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
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Kailashben
![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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb724c568-fa53-4261-a0f7-78593b400593%2Fe689c443-b717-4ef7-adcb-8bfbcfd63ed8%2F701xy2i_processed.jpeg&w=3840&q=75)
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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