Consider the initial value problem Suppose we know that α = 2 ÿ' = = 4 g(t) = 0 2t² 4t] −1 ÿ+ g(t), y(t): = is the unique solution to this initial value problem. Find g(t) and the constants and B. 7(¹) = [-2]. 2t + a [3+²+B]

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Consider the initial value problem
ÿ' = [ 20°²
Suppose we know that
α= 2
B
= 4
4t]
ÿ +ģ(t),
2+² -1
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' = [ 20°² Suppose we know that α= 2 B = 4 4t] ÿ +ģ(t), 2+² -1 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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