Consider the linear system Y?=[?35??23?]Y a. Find the eigenvalues and eigenvectors for the coefficient matrix. ?1?=,V1?=[],and?2?=,V2?=[]?] b. Find the real-valued solution to the initial value problem {y1??=?3y1??2y2?,y2??=5y1?+3y2?,?y1?(0)=5,y2?(0)=?5? Use t as the independent variable in your answers. y1?(t)=y2?(t)=? solutionspile.com

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