Reducible into Variable Separable:

Method: Sometimes differential equation  of the  1^st  order  cannot  be  solved  by  variable separation but  by  some  substitution  we can reduce  it  to a  differential equation with the separable variables.

A differential equation of the  can be solved by  writing  ax + by + c = t

Example: Solve (x - y)² .

Solution:         Put  z = x -y  

                        Now  z² => 

                         => dx = , which is in form of variable separable

                        Now by integrating, we get  x =

                          =>  Solution  is 

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