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x' = 2x + 2y y = - 4x + 6y x(0) = 2 y(0) = -3

x' = 2x + 2y y = - 4x + 6y x(0) = 2 y(0) = -3

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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Solve 5,7

 

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
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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