Consider the initial value problem 0 ÿ' = = [2²2 ÿ+ģ(t), 4t 2t² -1 Suppose we know that 0 = - [2] -2 ÿ(1) =

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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Consider the initial value problem
ÿ' = [ 2ťº²
4t
2+² -1
Suppose we know that
α= 2
B
= 4
ÿ +ģ(t),
g(t) =
ÿ(t)
is the unique solution to this initial value problem. Find g(t) and the constants a
and B.
=
7(¹) = [-2]
[2t + a
3t²2+B]
Transcribed Image Text:Consider the initial value problem ÿ' = [ 2ťº² 4t 2+² -1 Suppose we know that α= 2 B = 4 ÿ +ģ(t), g(t) = ÿ(t) is the unique solution to this initial value problem. Find g(t) and the constants a and B. = 7(¹) = [-2] [2t + a 3t²2+B]
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