dC Let's seek the solution for the time from 0 to 10 for the equation: = aCt for C(t=0)=10 where a = -0.1 Task 1. Code the solution using Euler's Method. Show the solution out to t=10 using two different time steps: 0.25 and 1. Create a plot that shows curves of the exact solution and the two numerical solutions for the two time steps.
dC Let's seek the solution for the time from 0 to 10 for the equation: = aCt for C(t=0)=10 where a = -0.1 Task 1. Code the solution using Euler's Method. Show the solution out to t=10 using two different time steps: 0.25 and 1. Create a plot that shows curves of the exact solution and the two numerical solutions for the two time steps.
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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Transcribed Image Text:dc
Let's seek the solution for the time from 0 to 10 for the equation:- = aCt for C(t=0)=10 where a = -0.1
Task 1. Code the solution using Euler's Method. Show the solution out to t=10 using two different time
steps: 0.25 and 1. Create a plot that shows curves of the exact solution and the two numerical solutions
for the two time steps.
Task 2. Code the solution using the Runge-Kutta Method. Show the solution out to t=10 using two
different time steps: 0.25 and 1. Create a plot that shows curves of the exact solution and the two
numerical solutions for the two time steps.
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