y1 = -Y1

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Question

q5

5. Solve each of the following initial value problems:
(a)
yi = -y1 + 2y2
y2 = 2y1 – Y2
Y1(0) = 3
Y2(0) = 1
(b)
y1 = Y1 – 2y2
y2 = 2y1 + Y2
Y1(0) = 1
Y2(0) = -2
%3D
Transcribed Image Text:5. Solve each of the following initial value problems: (a) yi = -y1 + 2y2 y2 = 2y1 – Y2 Y1(0) = 3 Y2(0) = 1 (b) y1 = Y1 – 2y2 y2 = 2y1 + Y2 Y1(0) = 1 Y2(0) = -2 %3D
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