Which 1 thes foc y,2y example solve sin'xy dx given y cot x is a solution. dy2 cosecx y0 dx clearly 0. now putting y=vcot p the given equation is solution 2 du

which 1 thes foc Y,2y Example Solve sin'xy dx given y cot x is a solution. dy2 cosecx y0 dx Clearly 0. Now putting y=vcot P The given equation is Solution 2 du )d 0 0 where u cot x dx u dx dx dv d'v da Now take dx a, da 0+ -cosec?x)a -0 dx dx dx cotx da 2 dx Sinx c0S X or, Integrating log a = 4 cosec 2x dx +log c. = 2 log tan x + log c, dv a =C, tan x dx or, dv = c, (sec? x 1) dx Integrating v = c,(tan x x) dx + C, y = C, Ccot (tan x - x)+C, cot x , ired CS. or