1. Find the solution for 2 - 2t+4y=0 with the initial conditions y(0) = 1, y'(0) = 0. (Hint: Try a d²y dt² series solution.)
1. Find the solution for 2 - 2t+4y=0 with the initial conditions y(0) = 1, y'(0) = 0. (Hint: Try a d²y dt² series solution.)
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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Please write explanation and don't use the calculator.
Find the solution for ?
2?
??
2 − 2?
??
??
+ 4? = 0 with the initial conditions ?(0) = 1, ?
′
(0) = 0. (Hint: Try a
series solution.)
?(?) =
Transcribed Image Text:d²y
1. Find the solution for 2 - 2t+4y=0 with the initial conditions y(0) = 1, y'(0) = 0. (Hint: Try a
series solution.)
y(t)
=
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