Find the solution to the linear system of differential equations {x′y′==−5x+3y−18x+10y satisfying the initial conditions x(0)=4 and y(0)=11

The coefficient matrix has eigenvalues , with corresponding eigenvectors . So the general solution is



Given that and , we get



so that the particular solution to the system is



or in equivalent terms,

I’m pretty sure the answer is a

None of the options you showed are it.