Example Consider the first-order system

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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Example
Consider the first-order system
S yi = -2tyı + 3y3
I ½ = -3y? (1 – y2)
with the initial conditions
Y1 (0) = –1 and y2 (0) = 2
Use Euler's method with step size h = 0.1 to compute approximations for
Y1(t) and y2(t) at time t = 0.1 and t = 0.2.
Transcribed Image Text:Example Consider the first-order system S yi = -2tyı + 3y3 I ½ = -3y? (1 – y2) with the initial conditions Y1 (0) = –1 and y2 (0) = 2 Use Euler's method with step size h = 0.1 to compute approximations for Y1(t) and y2(t) at time t = 0.1 and t = 0.2.
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