Consider the equation y" - y - 6y = 0, y(0) = 2, y(0) = 1. Bl 1. Using the substitution X write the system in the form X'= A X, where A € R²x2 2. Find the unique solution of the resulting linear system using the condition X(0) = y(0) 3'(0)

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Consider the equation y" - y - 6y = 0, y(0) = 2, y(0) = 1.
Bl
1. Using the substitution X
write the system in the form X'= A X, where A € R²x2
2. Find the unique solution of the resulting linear system using the condition X(0)
=
y(0)
3'(0)
Transcribed Image Text:Consider the equation y" - y - 6y = 0, y(0) = 2, y(0) = 1. Bl 1. Using the substitution X write the system in the form X'= A X, where A € R²x2 2. Find the unique solution of the resulting linear system using the condition X(0) = y(0) 3'(0)
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