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

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(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