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

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

The value of intsqrt(1+secx)dx is equal to (A) 2sin^-1(sqrt(2)sin(x/2))+c (B) 2cos^-1(sqrt(2)sin(x/2))+c (C) 2sin^-1(sqrt(2)cos(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

The general solution of the differential equation (dy)/(dx)+sin((x+y)/2)=sin((x-y)/2) is

Find (dy)/(dx) , when y = e^(-x^(2)) sin (log x)

The solution of dy/dx+(xy^2-x^2y^3)/(x^2y+2x^3y^2)=0 , is (A) log(y^2/x)-1/(xy)=C (B) log(x/y)+y^2/x=C (C) log(x^2y)+y^2/x=C (D) none of these

If (dy)/(dx)-y log_(e) 2 = 2^(sin x)(cos x -1) log_(e) 2 , then y =

Find y(x) , if it satisfies the following differential equation (dy)/(dx)=(x-y)^2 , and given that y(1)=1 (A) -ln|(1-x+y)/(1+x-y)|=2(x-1) (B) ln|(2-y)/(2-x)=x+y-1 (C) ln|(1-x+y)/(1+x-y)|=2(x-1) (D) 1/2ln|(1-x+y)/(1+x-y)|+ln|x|=0

int(sin5x)/(cos7xcos2x)dx is equal to (A) log|sec7x|+c (B) log|sec7xsec2x|+c (C) log|sec7x+sec2x|+c (D) none of these

The value of sqrt(2)int(sin"x"dx)/(sin(x-pi/4)) is: (1) x+log|cos(x-pi/4)|+c (2) x-log|sin(x-pi/4)|+c (3) x+log|sin(x-pi/4)|+c (4) x-log|cos(x-pi/4)|+c