(10-x²)y" +5xy' + y = 0 Solve the given ODE by the POWER SERIES METHOD, if x = 0 is an ordin point.
(10-x²)y" +5xy' + y = 0 Solve the given ODE by the POWER SERIES METHOD, if x = 0 is an ordin point.
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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Transcribed Image Text:1. GIVEN:
(10-x²)y" + 5xy' + y = 0
Solve the given ODE by the POWER SERIES METHOD, if x = 0 is an ordinary
point.
2. GIVEN
xảy" – 3x(x − 1)y' – 8(x + 1)y = 0
a) Solve for values of b(0) and c(0).
b) Use the INDICIAL EQUATION to determine the values of r.
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