1
Samarth Kashyap
·2009-06-02 17:29:45
adding I and II term , x/(x-a1).............(1)
adding (1) and III term, x2/(x-a1)(x-a2)
.
..
...
so 

seperating the terms and simplifying ,
dy/dx=y/x( a1/(x-a1) + ..........)
therefore, f(x,y)=y/x
1
Rohan
·2009-06-02 22:03:58
how did you simplify the second term?? i am not getting it !
1
Samarth Kashyap
·2009-06-07 19:27:18
first term is 
second term : differentiationis done using chain rule

this can also be written as 
so, the second term is
=
taking xn-1/(∩....) common.. write n as 1+1+1.....(n times).... add 1 to each term.. and then simplify.... u get the ans. [1]