Explain please

Use ADM to solve the system of differential equations x' (t) = z(t) - cost, x(0) - 1 y' (t) = z(t) - et, y(0) =0 z' (t) = x(t) - y(t), =(0) - 2 Then y1 (t) = 0 1- et O 2 2t none 1 - sint