ABSTRACT

A differential equation is an equation that relates a function with its derivatives of different orders.

A system of first order linear differential equations is of the form

x′1 = a11(t)x1 + a12(t)x2 + a13(t)x3 + · · ·+ a1n(t)xn + f1(t) x′2 = a21(t)x1 + a22(t)x2 + a23(t)x3 + · · ·+ a2n(t)xn + f2(t) x′3 = a31(t)x1 + a32(t)x2 + a33(t)x3 + · · ·+ a3n(t)xn + f3(t) ...