(6) `(dy)/(dx)cos(x+y)=1`

Solve: (i) sin^(-1)((dy)/(dx))=x+y (ii) (dy)/(dx)=cos(x+y) (iii) (dy)/(dx)=(4x+y+1)^2

If (dy)/(dx)+3/(cos^(2)x)y=1/(cos^(2)x),xin((-pi)/3,(pi)/3), and y((pi)/4)=4/3 , then y(-(pi)/4) equals 1/3+e^(k) . The value of k is __________.

Solve: (dy)/(dx)=cos(x+y)

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

Solve (dy)/(dx)=cos(x+y)-sin(x+y) .

Solve sin y. (dy)/(dx)=cos y(1-xcosy).

If y=sin(x^x) , prove that (dy)/(dx)=cos(x^x) .x^x(1+logx)

Solve: x(dy)/(dx)=y+cos (1/x)

If y = sqrt(sin x + sqrt(sin x + sqrt(sin x + ........... "to " oo))) , then prove that (dy)/(dx) = (cos x)/(2y-1)

The solution of (x^2dy)/(dx)-x y=1+cos(y/x) is