Find a three-term recurrence relation for solutions of the form y = Σ Cnx". Then n = 0 find the first three nonzero terms in each of two linearly independent solutions. (x²-4)y" + 2xy' + 2xy = 0 The three-term recurrence relation is c₂ = 0, Cn + 2 = for n ≥ 1. Enter the first three nonzero terms in each of two linearly independent solutions. The first term of y₁ is given. Y₁(x)=1+ + +... Y2(x)= +...

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section9.7: The Inverse Of A Matrix
Problem 30E
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∞
Find a three-term recurrence relation for solutions of the form y = Σ Cnx". Then
n = 0
find the first three nonzero terms in each of two linearly independent solutions.
(x²-4)y".
'+2xy' + 2xy=0
...
The three-term recurrence relation is c₂ = 0, Cn +2=
for n ≥ 1.
Enter the first three nonzero terms in each of two linearly independent solutions.
The first term of y₁ is given.
Y₁(x) =
Y2(x)=
=1+
+ ...
+...
Transcribed Image Text:∞ Find a three-term recurrence relation for solutions of the form y = Σ Cnx". Then n = 0 find the first three nonzero terms in each of two linearly independent solutions. (x²-4)y". '+2xy' + 2xy=0 ... The three-term recurrence relation is c₂ = 0, Cn +2= for n ≥ 1. Enter the first three nonzero terms in each of two linearly independent solutions. The first term of y₁ is given. Y₁(x) = Y2(x)= =1+ + ... +...
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