The solution of `cos(x+y)dy=dx` is (A) `y=cos^-1(y/x)+C` (B) `y=xsec(y/x)+C` (C) `y=tan((x+y)/2)+C` (D) none of these

The solution of xdy=(2y+2x^4+x^2)dx , is (A) y=x^4+xlogx+C (B) y=x^2+xlogx+C (C) y=x^4+x^2logx+C (D) none of these

The general solution of the differential equation x.cos(y/x)(ydx+xdy)=y sin(y/x)(xdy-ydx) is (A) xy=c sec((x)/(y)) (B) y=xc sec((x)/(y)) (C) xy=c sec((y)/(x)) (D) None of these

The solution of y^2dx+(x^2-xy+y^2)dy=0 is (A) y=Ce^(tan^-1x) (B) y=Ce^(tan^-1y) (C) y=Ce^(tan^-1(y/x)) (D) y=C[tan^-1(y/x)+e^(x^2)+y^2]

The solution of x^2 dy/dx-xy=1+cos(y/x) is (A) tan(y/(2x))=C-1/(2x^2) (B) sec(y/x)=1+C/y (C) sin(y/x)=C+1/y (D) y^2=(C+x^2) tan(y/x)

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

The solution of the equation dy/dx=x^3y^2+xy is (A) x^2y-2y+1=cye^(-x^2/2) (B) xy^2+2x-y=ce^(-y/2) (C) x^2y-2y+x=cxe^(-y/2) (D) none of these

The solution of equation x(dy)/(dx)cos((y)/(x))=y cos((y)/(x))-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

The solution of (dy) / (dx) + (y cos x + sin y + y) / (sin x + x cos y + x) = 0 is

The solution of the differential equation (dy/dx)^2-(xdy)/dx+y=0 is (A) y=2 (B) y=2x (C) y=2x-4 (D) y=2x^2-4