Let y(t) be the solution to y = 2te Y satisfying y(0) = 2. (a) Use Euler's Method with time step h = 0.2 to approximate y(0.2), y(0.4), .., y(1.0). k tk Yk 10.2 20.4 30.6 40.8 51.0 (b) Use separation of variables to find y(t) exactly. y(t) = %3D (c) Compute the error in the approximations to y(0.2), y(0.6), and y(1). \y(0.2) – y1| | \y(0.6) – y3| = \y(1) – ys| =

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Let y(t) be the solution to y = 2te Y satisfying y(0)
= 2.
(a) Use Euler's Method with time step h =
0.2 to approximate y(0.2), y(0.4), .., y(1.0).
k tk
Yk
10.2
20.4
30.6
40.8
51.0
(b) Use separation of variables to find y(t) exactly.
y(t) =
%3D
(c) Compute the error in the approximations to y(0.2), y(0.6), and y(1).
\y(0.2) – y1| |
\y(0.6) – y3| =
\y(1) – ys| =
Transcribed Image Text:Let y(t) be the solution to y = 2te Y satisfying y(0) = 2. (a) Use Euler's Method with time step h = 0.2 to approximate y(0.2), y(0.4), .., y(1.0). k tk Yk 10.2 20.4 30.6 40.8 51.0 (b) Use separation of variables to find y(t) exactly. y(t) = %3D (c) Compute the error in the approximations to y(0.2), y(0.6), and y(1). \y(0.2) – y1| | \y(0.6) – y3| = \y(1) – ys| =
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