tan((1)/(x)-(y^(2))/((x-y)^(2)))dx+((x^(2))/((x-y)2)-(1)/(y))dy=0

Solution of the differential equation {(1)/(x)-(y^(2))/((x-y)^(2))}dx+{(x^(2))/((x-y)^(2))-(1)/(y)}dy=0

Solution of the differential equation {1/x-(y^2)/((x-y)^2)}dx+{(x^2)/((x-y)^2)-1/y}dy=0 is

The solution of the differential equation {1/x-y^(2)/(x-y)^(2)}dx+{x^(2)/(x-y)^(2)-1/y}dy=0 is

The solution of the differential equation {1/x-y^(2)/(x-y)^(2)}dx+{x^(2)/(x-y)^(2)-1/y}dy=0 is

(1-2e^((x)/(y)))dx-2e^((x)/(y))(1-(x)/(y))dy=0

If y=tan^(-1)x, prove that (1+x^(2))(d^(2)y)/(dx^(2))(2x)(dy)/(dx)=0

If tan ^(-1)((x^(2)-y^(2))/(x^(2)+y^(2)))=a, prove that (dy)/(dx)=(x)/(y)((1-tan a))/((1+tan a))

If x=tan((1)/(a)log y), show that (1-x^(2))(d^(2)y)/(dx^(2))+(2x-a)(dy)/(dx)=0

If x=tan((1)/(a)log y), show that (1+x^(2))(d^(2)y)/(dx^(2))+(2x-a)(dy)/(dx)=0

Solve the following differential equations (i) (1+y^(2))dx = (tan^(-1)y - x)dy (ii) (x+2y^(3))(dy)/(dx) = y (x-(1)/(y))(dy)/(dx) + y^(2) = 0 (iv) (dy)/(dx)(x^(2)y^(3)+xy) = 1