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Consider the system dy = Y1 – 2y2 – 2e¬t + 2 dt dy2 2y1 – 42 – 2e-t +1 dt with initial values y1 (0) = 1 and y2(0) = 1 and analytical solution y1(t) = e-t and y2(t) = 1. Using Euler's method solve the above system for 0

Consider the system dy = Y1 – 2y2 – 2e¬t + 2 dt dy2 2y1 – 42 – 2e-t +1 dt with initial values y1 (0) = 1 and y2(0) = 1 and analytical solution y1(t) = e-t and y2(t) = 1. Using Euler's method solve the above system for 0

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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Consider the system dyi = Y1 – 2y2 – 2e¬t + 2 dt %3D dy2 = 2y1 – Y2 - 2e-t +1 dt %3D with initial values y1 (0) = 1 and y2(0) = 1 and analytical solution y1 (t) = e-t 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.
Transcribed Image Text:Consider the system dyi = Y1 – 2y2 – 2e¬t + 2 dt %3D dy2 = 2y1 – Y2 - 2e-t +1 dt %3D with initial values y1 (0) = 1 and y2(0) = 1 and analytical solution y1 (t) = e-t 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.
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