Question

(2 points) Consider the linear system y⃗ ′=[−35−23]y⃗ . Find the eigenvalues and eigenvectors for the coefficient matrix. ????1= , ????⃗ 1= ⎡⎣⎢⎢⎢ ⎤⎦⎥⎥⎥ , and ????2= , ????⃗ 2= ⎡⎣⎢⎢⎢ ⎤⎦⎥⎥⎥ Find the real-valued solution to the initial value problem {y′1y′2==−3y1−2y2,5y1+3y2,y1(0)=9,y2(0)=−10.

Answer 1

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