If we have following ODE: x*y" + (1 – 2a)xy' + a²y = 0, with a # 0. With the aid of guess and y = x" Determine a solution

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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If we have following ODE:
x²y" + (1 – 2a)xy' + a²y = 0, with a + 0.
With the aid of guess and Y = x'
Determine a solution
And then find the general solution with the aid of reduction method
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