4) Let a, b, and c be real numbers and consider the second order ODE ax"(t) + bx'(t) + cx(t) = 0. Express this equation as a 2 × 2 system of first order equations y'(t) = Ay(t) and find the...

Can you help me with this ODE question please

Extracted text: 4) Let a, b, and c be real numbers and consider the second order ODE ax"(t) + bx'(t) + cx(t) = 0. Express this equation as a 2 × 2 system of first order equations y'(t) = Ay(t) and find the characteristic polynomial PA(A).