Consider the system dy 31-22-2e +2 dt dy₂ 21-92-2e +1 with initial values y₁ (0) 1 and y₂(0) 1 and analytical solution y(t)-et and y₂(t)- 1. Using Euler's method solve the above system for 0 < t <0.1 with stepsizes h = 0.05 and h = 0.025.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Consider the system
91-22-2e +2
dt
dyz
2y1-92-2e +1
dt
with initial values y₁ (0) 1 and y₂(0)
1 and analytical solution y(t)-et and y₂(t)-1. Using
Euler's method solve the above system for 0 <t<0.1 with stepsizes h = 0.05 and h = 0.025.
dy
Transcribed Image Text:Consider the system 91-22-2e +2 dt dyz 2y1-92-2e +1 dt with initial values y₁ (0) 1 and y₂(0) 1 and analytical solution y(t)-et and y₂(t)-1. Using Euler's method solve the above system for 0 <t<0.1 with stepsizes h = 0.05 and h = 0.025. dy
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