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00 When a power series y an (I – 1)" is used to find a solution of the differential equation 72-0 y" – (r – 1) y + 2y = 0, | the recurrence relation obtained is an12 = п - 2 (n+1)(n+ 2) n >0. (Do NOT show this, assume it.) Use this relation to find the power series solution. Write your answer in sigma notation and simplify as much as possible. + Drag and drop an image or PDE file or click to browse...

00 When a power series y an (I – 1)" is used to find a solution of the differential equation 72-0 y" – (r – 1) y + 2y = 0, | the recurrence relation obtained is an12 = п - 2 (n+1)(n+ 2) n >0. (Do NOT show this, assume it.) Use this relation to find the power series solution. Write your answer in sigma notation and simplify as much as possible. + Drag and drop an image or PDE file or click to browse...

Advanced Engineering Mathematics
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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When a power series y an (I – 1)" is used to find a solution of the differential equation n=0 y" – (I – 1) y + 2y = 0, the recurrence relation obtained is an12 = п-2 n>0. (n+1)(n+ 2)* (Do NOT show this, assume it.) Use this relation to find the power series solution. Write your answer in sigma notation and simplify as much as possible. + Drag and drop an image or PDE file or click to browse...
Transcribed Image Text:When a power series y an (I – 1)" is used to find a solution of the differential equation n=0 y" – (I – 1) y + 2y = 0, the recurrence relation obtained is an12 = п-2 n>0. (n+1)(n+ 2)* (Do NOT show this, assume it.) Use this relation to find the power series solution. Write your answer in sigma notation and simplify as much as possible. + Drag and drop an image or PDE file or click to browse...
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