8.5.12 If the parameter a² in Eq. (8.72d) is equal to 2, Eq. (8.72d) becomes 1 2 y=0. From the indicial equation and the recurrence relation, derive a solu- tion y = 1+2x+2x². Verify that this is indeed a solution by substituting back into the differential equation. -
8.5.12 If the parameter a² in Eq. (8.72d) is equal to 2, Eq. (8.72d) becomes 1 2 y=0. From the indicial equation and the recurrence relation, derive a solu- tion y = 1+2x+2x². Verify that this is indeed a solution by substituting back into the differential equation. -
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:8.5.12 If the parameter a² in Eq. (8.72d) is equal to 2, Eq. (8.72d) becomes
1
2
y"
y=0.
From the indicial equation and the recurrence relation, derive a solu-
tion y = 1+2x+2x². Verify that this is indeed a solution by substituting
back into the differential equation.
-
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