Page 1 - CH 9 Differential Equation WORK SHEET
P. 1

PRACTICE QUESTIONS


                   1.  Find  sum of order and degree of the differential               ( )

                       (a)  4               (b) 3                 (c) 2                (d) 5


                   2.  The general solution of the differential equation



                              (a)                    (b)

                             (c)                    (d)

                   3.  The general solution of the differential equation

                                              2
                                                                         2
                          (a)  xy=C  (b) x= C y    (c) y=Cx       (d) y=cx

                   4.  The general solution of a differential equation of the type

                       (a)     ∫         ∫(    ∫      )           (b)     ∫         ∫(    ∫      )
                       (c)    ∫         ∫(    ∫      )         (d)     ∫         ∫(    ∫      )
                   5.  The general solution of the differential equation ex dy + (y ex + 2x) dx = 0 is
                                2
                                                                    2
                                                                y
                            y
                       (a) x e  + x  = C                   (b) x e  + y  = C
                               2
                                                                y
                                                                   2
                            y
                       (c) ye  + x  = C                    (d) ye  + x  = C

                   6.  The Integrating Factor of the differential equation                    is


                       (a)           (b)           (c)            (d) x


                   7.  The Integrating Factor of the differential equation  (      )

                       (a)           (b)           (c)            (d)

                                        √                            √

                   8.  Form the differential equation representing the family of curves y  = A cos(x + B),
                       where A and B are constants.
                   9.  Solve the differential equation

                   10. Form a differential equation of family of all circles having centres on x-axis and
                       radius 3 units.
                   11. Solve the differential equation

                   12.   Solve the following differential equation:

                                                                          2
                                                                             x
                                                            2x
                   13. Solve the differential equation (1 + e )dy + (1 + y )e dx = 0 given that when x = 0,
                       y = 1.
                   14. Solve

                   15. Form the differential equation of the family of parabolas having vertex at origin and
                       axis along positive y - axis.
   1