Find the general solution of the given system. dx dt = −6x + 4y dy dt = − 7 4 x + 2y

I assume the coefficient on in the second equation is . The coefficient matrix



has eigenvalues given by



The eigenvalues are thus and .

For the eigenvalue , the corresponding eigenvector satisfies




so that we can choose .

For , we have




and we can choose for the corresponding eigenvector.

Then the general solution to the ODE system is given by

It’s going to be d. 4x^2-4x-19’