Math 3331 Exercises
                             Classify each differential equation as separable, exact, linear, homogeneous, or Bernoulli.
                         Some equations may be more than one kind. Do not solve.
                            1. dy = x−y: Linear, homogeneous, exact.
                                dx     x
                            2. dy = 1 : Linear in x.
                                dx    y−x
                            3. (x +1)dy = −y +10: separable, linear, exact.
                                        dx
                            4. dy =     1   : Bernoulli in x.
                                dx    x(x−y)
                            5. dy = y2+y: separable.
                                dx    x2+x
                            6. dy = 5y +y2: separable, linear in x, Bernoulli
                                dx
                            7. ydx = (y −xy2)dy: linear in x.
                            8. xdy = yex/y −x: homogeneous
                                 dx
                            9. xyy′ +y2 = 2x: Bernoulli.
                           10. 2xyy′ +y2 = 2x2: homogeneous, exact, Bernoulli
                           11. ydx+xdy = 0: linear, exact, separable, homogeneous.
                           12. ³x2 + 2y´dx = (3−lnx2)dy: exact, linear in y.
                                       x
                           13. dy = x + y +1: homogeneous.
                                dx    y    x
                                y dy       2  2
                           14.       +e2x +y = 0: separable.
                                 2
                                x dx
                                                                          1