Show that if a11, a12, a21, and a22 are constants with a12 and a21 not both zero, and if thefunctions g1 and g2 are differentiable, then the initial value problemx1 = a11x1 + a12x2 + g1(t), x1(0) = x01x2 = a21x1 + a22x2 + g2(t), x2(0) = x02can be transformed into an initial value problem for a single second order equation. Canthe same procedure be carried out if a11, ... , a22 are functions of t?

ISLAMICWORLD Basics Al-Khwarizimi o o o o o o o ▯▯ + ▯▯ + ▯ = 0 2 o ▯ + ▯▯ = ▯ 2 ▯(▯ 2) + ▯ − (▯ 2) ▯ + 6▯ = 4 (▯ + 3)2= 4 + 9 (▯ + 3) = 13 ▯ + 3 = √13 ▯ = √ 13 − 3 ▯ ▯...