Let y = y(t) be the solution to the initial value problem dy dt Find the value of y(2π). 4TE 3 47 7 Does not exist + 2y = sint, y(t) = 0
Let y = y(t) be the solution to the initial value problem dy dt Find the value of y(2π). 4TE 3 47 7 Does not exist + 2y = sint, y(t) = 0
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
Transcribed Image Text:Let y = y(t) be the solution to the initial value problem
dy
dt
Find the value of y(2π).
O
O
1
47
3
4.T
T
Does not exist
+ 2y = sint, yY(T) = 0
Transcribed Image Text:Find the solution of the initial value problem
1-2x
y(1) = -2
Y
y
in explicit form.
=
y = 2x − 2x² – 2
y²/2 = x - x² + 2
y = ln |2x - 2x² − 1|
y = √√√2x − 2x² +4
y = -√2x2x² +4
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