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P. 42

1
                                                                                   
                                       Here is  n   .  After replacement  y   uv ,  y   u v   v u 
                                                   2
                                 we will get
                                        vu 
                                      x      v u   4uv   x 2  uv ,
                                                4uv
                                     u v   v u      x  uv ,
                                                 x

                                                4v 
                                     u v   u  v         x  uv .
                                                 x 


                                     After the known algorithm we come to the system

                                          4v
                                          v   ,0
                                           x
                                       u v   x  uv .
                                      

                                                                             4
                                     The first equation has the decision  v   x , and the second
                                 acquires a kind  xu  4    x 3  u  or at  x  0
                                      du    dx
                                              ,
                                       u    x
                                       du     dx
                                              ,
                                         u     x
                                                              1
                                                                  2
                                      2 u   ln x   ln C  , u   ln Cx .
                                                              4
                                     Then  common  decision  of  the  given  equation:
                                            x 4  2
                                        y     ln Cx . 
                                             4

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