Convert the initial value problem into a first order system. Give the matrix A which determines the system and the initial vector x(0). y'' - 3y' - 10y = 3e^(-2t) + 2e^(5t) y(0)=2, y'(0)= -3

Convert the initial value problem into a first order system. Give the matrix A which determines the system and the initial vector x(0).

y'' - 3y' - 10y = 3e^-2t + 2e^5t

y(0)=2, y'(0)= -3

Solution: