The no. of solutions of dy/dx = (y+1) / (x -1) , y(1) = 2 is

(a)none (b)1 (c) 2 (d)infinite.

Dear Sanchit

dy/dx = (y+1) / (x -1)

dy /(y+1) =dx /(x-1)

ln(y+1) =ln(x-1) + ln c

y+1 =c(x-1)

Given function is not define at x=1

so no solution exits

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Badiuddin

           dy/dx = (y+1)/(x-1)

          dy/(y+1) = dx/(x-1)

       Taking Integral on both sides,

       ln(y+1) = ln(x-1)+lnC

       Y(1)=2,

        Clearly at x=1 it does not exist

       therefore, no solutions exists.