Classify the following differential equations as linear homogeneous, linear nonhomogeneous or nonlinear differential equations, state their order and name the dependent and independent variables.

(a) (b) (c) (d) (f) d'p dp dz dz (h) ds dr dp dy dr dz dx dt ds + (sin t) + (t + cost)s = e dt d.x (e) = f(t) x dt 1/2 dp dq + (sin z)p = In z + z = 0 + +4- = = f(t)x+ g(t) = dp dy dp dq dx dy x 1 dp dy P + 4q = 0 dy COS Z (i) (sin z) + y = 0 dz Z + 8p = 0