[49] Consider y'= 1-2t + 3y, y(0) 0.5. Find approximate values of the solution at t = 0.1, 0.2, 0.3. (a) Use Euler's method with h = 0.1. (b) Use the improved Euler's method with h = 0.1. (c) Use the Runge-Kutta method with h = 0.1.
[49] Consider y'= 1-2t + 3y, y(0) 0.5. Find approximate values of the solution at t = 0.1, 0.2, 0.3. (a) Use Euler's method with h = 0.1. (b) Use the improved Euler's method with h = 0.1. (c) Use the Runge-Kutta method with h = 0.1.
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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solution is provided by instructor for practice therefore not graded work
![[49] Consider y = 12t + 3y, y(0)
t = 0.1, 0.2, 0.3.
[49]
=
(a) Use Euler's method with h = 0.1.
(b) Use the improved Euler's method with h = 0.1.
(c) Use the Runge-Kutta method with h = 0.1.
t Euler
0.0 0.5000
0.1 0.7500
0.5. Find approximate values of the solution at
Improved Euler
0.5000000000
0.7775000000
0.2 1.0550
1.127737500
0.3 1.4315 1.575806938
Runge-Kutta
0.5000000000
0.7804562500
1.135704113
1.591908501](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F8c89c353-252e-4eca-b673-064be33ffdb0%2F6d5d7f02-f102-43e0-8fba-2b55cc6a8748%2F4etk5xo_processed.png&w=3840&q=75)
Transcribed Image Text:[49] Consider y = 12t + 3y, y(0)
t = 0.1, 0.2, 0.3.
[49]
=
(a) Use Euler's method with h = 0.1.
(b) Use the improved Euler's method with h = 0.1.
(c) Use the Runge-Kutta method with h = 0.1.
t Euler
0.0 0.5000
0.1 0.7500
0.5. Find approximate values of the solution at
Improved Euler
0.5000000000
0.7775000000
0.2 1.0550
1.127737500
0.3 1.4315 1.575806938
Runge-Kutta
0.5000000000
0.7804562500
1.135704113
1.591908501
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