Example 1 For the IVP y'+2y=2-e y(0)=1 Use Euler's Method with a step size of h0.1 to find approximate values of the solution at t = 0.1, 0.2, 0.3, 0.4, and 0.5. Compare them to the exact values of the solution at these points. Solve example 1 using h= 0.25 instead on 1 using Eulers method and using Runge kutta 2 and 4th order methods, write your results in tables and compare the results with the exact solution

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Example 1 For the IVP
v+2y=2-e
y(0)=1
Use Euler's Method with a step size of h 0.1 to find approximate values of the solution at t = 0.1, 0.2,
0.3, 0.4, and 0.5. Compare them to the exact values of the solution at these points.
Solve example 1 using h= 0.25 instead on 1 using
Eulers method and using Runge kutta 2 and 4th order
methods, write your results in tables and compare the
results with the exact solution
Transcribed Image Text:Example 1 For the IVP v+2y=2-e y(0)=1 Use Euler's Method with a step size of h 0.1 to find approximate values of the solution at t = 0.1, 0.2, 0.3, 0.4, and 0.5. Compare them to the exact values of the solution at these points. Solve example 1 using h= 0.25 instead on 1 using Eulers method and using Runge kutta 2 and 4th order methods, write your results in tables and compare the results with the exact solution
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