Consider the IVP 9y" - 6xy = 0, y(0) −4, y(0) =-4, y'(0) = 5. We seek a power series solution centered at x = 0. Then, the recurrence relation of the solution is given by Ck+2 = 2 1 3 (k+1)(k+2) XCk−1, k = 1, 2, 3,.... The coefficients of the first five terms of the solution are: со -4, C₁ = 5, C₂ = C3 = 50 , C4 = 9 20 43 Note: You can earn partial credit on this problem. Preview My Answers Your score was recorded. Submit Answers You have attempted this problem 20 times. You received a score of 50% for this attempt. Your overall recorded score is 50%. You have unlimited attempts remaining.
Consider the IVP 9y" - 6xy = 0, y(0) −4, y(0) =-4, y'(0) = 5. We seek a power series solution centered at x = 0. Then, the recurrence relation of the solution is given by Ck+2 = 2 1 3 (k+1)(k+2) XCk−1, k = 1, 2, 3,.... The coefficients of the first five terms of the solution are: со -4, C₁ = 5, C₂ = C3 = 50 , C4 = 9 20 43 Note: You can earn partial credit on this problem. Preview My Answers Your score was recorded. Submit Answers You have attempted this problem 20 times. You received a score of 50% for this attempt. Your overall recorded score is 50%. You have unlimited attempts remaining.
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 IVP 9y" - 6xy = 0,
y(0) −4,
y(0) =-4, y'(0) = 5.
We seek a power series solution centered at x = 0. Then, the recurrence relation of the solution is given by
Ck+2
=
2
1
3
(k+1)(k+2)
XCk−1,
k = 1, 2, 3,....
The coefficients of the first five terms of the solution are:
со
-4, C₁ = 5, C₂
=
C3 =
50
, C4
=
9
20
43
Note: You can earn partial credit on this problem.
Preview My Answers
Your score was recorded.
Submit Answers
You have attempted this problem 20 times.
You received a score of 50% for this attempt.
Your overall recorded score is 50%.
You have unlimited attempts remaining.
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