6 given the linear ode system fracd ud ta u with aleftbeginarrayll 5 1
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\frac{d u}{d t}=A u 6. Given the linear ODE system with A=\left[\begin{array}{ll} 5 & 1 \\ 3 & 3 \end{array}\right] along with the initial condition u(0)=\left[\begin{array}{l} 4 \\ 0 \end{array}\right]
Find the complete solution u(t)=c_{1} x_{1} e^{\lambda_{1} t}+c_{2} x_{2} e^{\lambda_{2} t} including the constants c1 and c2.