Given the system: dx/dt=x+ 6y, dy/dt=−x+y   (a) Find the general solution.   (b) Find the solution that satisfies the initial condition (x(0), y(0)) = (2,1). Report your solution as one vector.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Given the system:
dx/dt=x+ 6y,
dy/dt=−x+y
 
(a) Find the general solution.
 
(b) Find the solution that satisfies the initial condition (x(0), y(0)) = (2,1). Report your solution as one vector.
 
 
 
 
 
 
 
 
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