x' = 2x + 2y y = - 4x + 6y x(0) = 2 y(0) = -3
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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Solve 5,7
Transcribed Image Text:Solving Initial Value Problems. Solve each of the following linear systems
for the given initial values in Exercise Group 3.4.6.5-8.
5.
6.
7.
x = 2x + 2y
y = -4x+6y
x(0) = 2
y(0) = -3
x' = -x - 4y
y = 3x - 2y
x(0) = 20
y(0) = 20
8.
x' = 2x - 6y
y = 2x + y
x(0) = 2
y (0) = 1
x' = 2x - 5y
y' = x - 2y
x (0) = 5
y (0) = -5
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