Verify that the solution to the initial value problem

QUESTION:

Verify that the solution to the initial value problem

                     \(x^{\prime}=5 x-3 y-2\)     \(x(0)=2\) ,

                     \(y^{\prime}=4 x-3 y-1\)     \(y(0)=0\)

satisfies \(|x(t)|+|y(t)| \rightarrow+\infty\) as \(t \longrightarrow+\infty\).

Equation transcription:

Text transcription:

x^{prime}=5 x-3 y-2

x(0)=2

y^{prime}=4 x-3 y-1

y(0)=0

|x(t)|+|y(t)| rightarrow+\infty

t longrightarrow+infty