Consider the following initial-value problem to be solved using a power series. (x-1)y" xy' + y = 0, y(0) = -6, y'(0) = 5 00 Using the substitution y = ✓ ✓ ✓ X", find an expression Ck + 2 in terms of Ck for k = 1, 2, 3.... n = 0 Ck+2= (k+1)kck+1 − (k−1)ck - × Check which variable(s) should be in your answer. Solve the given initial value problem. (Format your answer as an elementary function.) y = - 1 x ze - 11 -x 11 2 e ×
Consider the following initial-value problem to be solved using a power series. (x-1)y" xy' + y = 0, y(0) = -6, y'(0) = 5 00 Using the substitution y = ✓ ✓ ✓ X", find an expression Ck + 2 in terms of Ck for k = 1, 2, 3.... n = 0 Ck+2= (k+1)kck+1 − (k−1)ck - × Check which variable(s) should be in your answer. Solve the given initial value problem. (Format your answer as an elementary function.) y = - 1 x ze - 11 -x 11 2 e ×
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:Consider the following initial-value problem to be solved using a power series.
(x-1)y" xy' + y = 0, y(0) = -6, y'(0) = 5
00
Using the substitution y = ✓ ✓ ✓ X", find an expression Ck + 2
in terms of Ck
for k = 1, 2, 3....
n = 0
Ck+2=
(k+1)kck+1 − (k−1)ck
-
×
Check which variable(s) should be in your answer.
Solve the given initial value problem. (Format your answer as an elementary function.)
y =
-
1 x
ze
-
11 -x
11
2
e
×
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