I keep getting stuck after the reindexing, Power Series. In this problem you will solve the differential equation(х + 5)у" — (7 — г)у + у 3 0.-(1) By analyzing the singular points of the differential equation, we know that a series solution of the form y = E, Cn x" for the differential equation willn=0converge at least on the interval (b) From the series above, we find that the recurrence relation is (you must simplify, negative signs go in the numerator))/CC+C(4) The general solution to (x + 5)y" – (7 – x)y' + y = 0 converges at least onand isY = Co+x³.x°+x* ++ ci:)x+x2+x4

Given differential equation (x+5)y"-(7-x)y'+y=0 Using power series solution

In this problem you will solve the differential equation (x + 5)y" – (7 – x)y' + y = 0. (1) By analyzing the singular points of the differential equation, we know that a series solution of the form y = Cn x" for the differential equation will converge at least on the interval

In this problem you will solve the differential equation (x + 5)y" – (7 – x)y' + y = 0. (1) By analyzing the singular points of the differential equation, we know that a series solution of the form y = Cn x" for the differential equation will converge at least on the interval

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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Question

I keep getting stuck after the reindexing, Power Series.

In this problem you will solve the differential equation
(х + 5)у" — (7 — г)у + у 3 0.
-
(1) By analyzing the singular points of the differential equation, we know that a series solution of the form y = E, Cn x" for the differential equation will
n=0
converge at least on the interval

(b) From the series above, we find that the recurrence relation is (you must simplify, negative signs go in the numerator)
)/
C
C
+
C
(4) The general solution to (x + 5)y" – (7 – x)y' + y = 0 converges at least on
and is
Y = Co
+
x³.
x°+
x* +
+ ci
:)
x+
x2+
x4

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