`(tany)(dy)/(dx)=sin(x+y)-sin(x-y)`A)`secy tany = 2 sin x+c` B)`log(cosy-coty)=2sin x+c` C)`log(secy+tany)=2sin x+c` D)`secy+tany=c.e^(sinx)`

(dy)/(dx)tany=sin(x+y)+sin(x-y)

(dy)/(dx)coty=cos(x+y)+cos(x-y) A) log(secy+tany)=2cos x+c B) log(cosecy-coty)=2sinx+c C) log(cosy-coty)=2cosx+c D) cosy-coty=c.e^(cosx)

(dy)/(dx)=(sin2y)/(x+tany)

secy(dy/dx)=sin(x+y)+sin(x-y) if y(0)=0 then find 5y'(pi/2)

(tanx)^(y)=(tany)^(x) find dy/dx

Solution of, (dy)/(dx)+sin[(x+y)/2]=sin[(x-y)/2] is: (A) ln|tany/2|+2sin(x/2)=c (B) ln|tan(y/4)|+2sin(x/2)=c (C) ln|tany/2|-2sin(x/2)=c (D) none of these

The general solution of the differential equation (dy)/(dx)+sin((x+y)/(2))=sin((x-y)/(2)) is (a) log tan((y)/(2))=C-2sin((x)/(2))(c)log tan((y)/(2)+(pi)/(4))=C-2sin x(d) Non of log tan((y)/(2)+(pi)/(4))=C-2sin x(d) Non of these

sec x dy +cosec y dx=0 A) cos x-sin xy=c B) cos x+siny=c C) sinx-cos y=c D) sin(x-y)=c

Solve: (x+tany)dy = sin 2y dx.

(e^(y)+1)cos x dx+e^(y)sin x dy =0 A) (e^(y)+1)sin x =c B) (e^(y)+1)=c tan x C) e^(y)sin x + cos x=c D) (e^(x)+1)sin y=c