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[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
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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[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
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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