Consider the initial value problem:
y' = [0, 1; 1, 0]y + [t; -5], y(0) = [6; 4]
a) yᵢ(t) = c₁[1; 1] + c₂[-1; 1]
b) yᵢ(t) = c₁[1; -1] + c₂[1; 1]
c) yᵢ(t) = c₁[-1; -1] + c₂[1; -1]
d) yᵢ(t) = c₁[1; 0] + c₂[0; 1]