Q2. Classify the following DEs as linear homogeneous, linear nonhomogeneous or nonlinear differential equations. Also state their order and name the dependent and independent variables. d³z dz a. Y + (sin(y)) dy + (sin(y) + cos(y))z - e²y = 0. dy³ b. 3 +3 C. dx dt² dt d²s dy² d. d³ s dy³ dx +4 4x − 4 cos(t) = −2 cos(t). (ds)² = sin(y). + 2x(r) — 3f (r) = 0 where f(r) is a function of r. dr