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Calculus: Early Transcendentals
8th Edition
ISBN: 9781285741550
Author: James Stewart
Publisher: Cengage Learning
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Question
Consider the
(x2−1)y′′+[1−(a+b)]xy′+aby=0, (11.7.9)
where a and b are constants.

Transcribed Image Text:O Show that the coefficients in a series solution to
Equation (11.7.9) centered at x = 0 must satisfy
the recurrence relation
(п — а)(п — b)
ал+2
-аn, п 3D 0, 1, ,
(n + 2)(n + 1)
and determine two linearly independent series
solutions.
Expert Solution
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Step 1
Given, the differential equation
We have to calculate the recurrence relation and tow LI solutions of the differential equation.
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Step 2
Let the power series solution is
Step by stepSolved in 3 steps with 4 images
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