(See Solution) Solve the following linear homogeneous systems of ODEs using the eigenvalue method described in class. b.) x'=2x-5y , y'=4x-2y , x(0)=2,y(0)=3


Question: Solve the following linear homogeneous systems of ODEs using the eigenvalue method described in class.

b.)

\(\left\{ \begin{aligned} & x'=2x-5y \\ & y'=4x-2y \\ & x\left( 0 \right)=2,y\left( 0 \right)=3 \\ \end{aligned} \right.\)

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