Find the general solution of the system y = 2yı – 3y2, y2 = 2yı + 7y2. (Hint: add two equations and solve it for u = V1 + y2).

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Find the general solution of the system \( y'_1 = 2y_1 - 3y_2, \, y'_2 = 2y_1 + 7y_2 \). (Hint: add two equations and solve it for \( u = y_1 + y_2 \)).
Transcribed Image Text:Find the general solution of the system \( y'_1 = 2y_1 - 3y_2, \, y'_2 = 2y_1 + 7y_2 \). (Hint: add two equations and solve it for \( u = y_1 + y_2 \)).
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