Give the solution of `x" sin"^(2)(y)/(x)dx =y dx -x dy` which passes through the point `(1, (pi)/(4))`.

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

The solution of (x+y)^(2)(dy)/(dx) = a^(2) is

The solution of (x+y +1) (dy)/(dx) =1 is

Find the equation of a curve whoise gradient is (dy)/(dx)=(y)/(x)-"cos"^(2)(y)/(x) , where x gt 0, y gt 0 and which passes through the point (1, (pi)/(4)) .

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

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

The solution of the differential equation dx/dy+2yx=2y which passes through the point (2, 0) is