of the form y₁ = x¹(1+ a₁ + a₂x² + a3x³ + ...) y2 = x2(1 + b₁x + b₂x² + b₂x³ +.. ....) where r1 > 12. Enter T1 = a1 - a2 a3 || b₂ b3 II T2= Find two linearly independent solutions of 2x²y" - xy + (5x + 1)y=0, x > 0 = =
of the form y₁ = x¹(1+ a₁ + a₂x² + a3x³ + ...) y2 = x2(1 + b₁x + b₂x² + b₂x³ +.. ....) where r1 > 12. Enter T1 = a1 - a2 a3 || b₂ b3 II T2= Find two linearly independent solutions of 2x²y" - xy + (5x + 1)y=0, x > 0 = =
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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Question
Transcribed Image Text:Find two linearly independent solutions of 2a?y" – xy' + (5x + 1)y= 0, x > 0
of the form
Y1 = x" (1+ a1r + a2x? + a3x³+..)
Y2 = x" (1+ bịT + bzx² + b3x³+..)
where r1 > r2-
Enter
T1
a1
a2
a3
r2 =
%3D
b2
b3
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