# a differential equation with matrices

How can I solve this system of equation: $$Mx''(t)+(K+N)x'(t)+(D+G)x(t)=F(t)$$ $$x(0)=0$$ where M, K, N, D, G are matrix I tried substitution $$z=(x, x')$$

• Well, that substitution is where I would start - then move to eigenvalues and eigenvectors. Please post your work. – Adrian Keister May 21 at 23:07