Find two linearly independent solutions of 2x²y" - xy + (-4x + 1)y=0, x > 0 of the form y₁ = x¹(1+ a₁ + a₂x² + aşx³+...) Y₂ = x¹(1+b₁x + b₂x² + b3x³ + ...) where r₁ > T2. Enter 3 II a1 a2 az 8 II || || 72 = b₁ II
Find two linearly independent solutions of 2x²y" - xy + (-4x + 1)y=0, x > 0 of the form y₁ = x¹(1+ a₁ + a₂x² + aşx³+...) Y₂ = x¹(1+b₁x + b₂x² + b3x³ + ...) where r₁ > T2. Enter 3 II a1 a2 az 8 II || || 72 = b₁ II
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:Find two linearly independent solutions of 2x²y" - xy + (−4x + 1)y = 0, x > 0
of the form
Y₁ = x¹(1+ a₁x + a₂x² + aşx³ + ...)
Y2 = : x*²(1+b₁x+b₂x² + b3x³ + ...)
where T₁ > T2.
Enter
71 =
a1 =
a2 =
az =
r2 =
b₁ =
b₂ =
b3
In
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