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Use Euler's method to solve an ordinary differential equation = 4e0.8x – 0.5y from x= 0 to 4 with a step size of 1. The initial condition at || dx x = 0 is y = 2. Note that the exact solution can be determined analytically as. 4 y = (e0.8x – e-0.5x) + 2e-0.5x 1.3 Also, draw a true solution and numerical solution and find the absolute relative true error at each step.

Use Euler's method to solve an ordinary differential equation = 4e0.8x – 0.5y from x= 0 to 4 with a step size of 1. The initial condition at || dx x = 0 is y = 2. Note that the exact solution can be determined analytically as. 4 y = (e0.8x – e-0.5x) + 2e-0.5x 1.3 Also, draw a true solution and numerical solution and find the absolute relative true error at each step.

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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Use Euler's method to solve ordinary differential equation an dy 4e0.8x – 0.5y from x= 0 to 4 with a step size of 1. The initial condition at x = 0 is y = 2. Note that the exact solution can be determined analytically as. dx 4 y = 13 e0.8x – e-0.5x) + 2e-0.5x Also, draw a true solution and numerical solution and find the absolute relative true error at each step.
Transcribed Image Text:Use Euler's method to solve ordinary differential equation an dy 4e0.8x – 0.5y from x= 0 to 4 with a step size of 1. The initial condition at x = 0 is y = 2. Note that the exact solution can be determined analytically as. dx 4 y = 13 e0.8x – e-0.5x) + 2e-0.5x Also, draw a true solution and numerical solution and find the absolute relative true error at each step.
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