y(1) =2 y') =4, メ dメ Ans: y= 24 4(メー)-4(メー) ?- + 2(x-1)5/15t a-
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
by using the initial conditions given
a. find the recurrence relation of the given ODE
b. prove that the power series solution of y in powers of (x-1) for the given ODE is true.
c. show that the given solution of y satisfies the original ODE and initial conditions
[hint: you may want to use the method of substitution where t=x-1]

Transcribed Image Text:y(1) =2
y') =4,
つ4 4(メー)-4(メー)、
メ
dメ
Ansi
+ 2(メー)15t.
--
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