This preview shows pages 1–2. Sign up to view the full content.
This preview has intentionally blurred sections. Sign up to view the full version.
View Full Document
Unformatted text preview: where A is the matrix [ 3 , 3 ; 1 , 5 ] 4. Find the general solution to the equation y' = Ay where A is the 3x3 matrix [ 2 , 0 , 0 ; 1 , 5 , 2 ; 3 , 2 , 5 ]. 5. Consider the 2x2 system of equations y' = Ay where the matrix A depends on an unknown parameter b. A = [ 1 , b ; 1 , 1 ]. Classify the solution [ 0 ; 0 ] as a fixed point for the various values of b. Make specific note of the value of b which is the transition point between the different behaviors of solutions to y' = Ay....
View
Full
Document
 Spring '07
 Pennebaker

Click to edit the document details