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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....
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- Fall '07
- Equations, Elementary algebra, Equilibrium point, Parametric equation