2(dy)/(dx)=(y)/(x)+(y^(2))/(x^(2))

(dy)/(dx)-(y)/(x)=2x^(2)

(dy)/(dx)-(y)/(x)=2x^(2)

The solution of 2(dy)/(dx_(1)) = (y)/(x)+(y^(2))/(x^(2)) is

Solve (dy)/(dx)=((x+y)^(2))/((x+2)(y-2))

x(dy)/(dx)+(y^(2))/(x)=y

Solve (dy)/(dx)=((x+y)^2)/((x+2)(y-2))

Solve (dy)/(dx)=((x+y)^2)/((x+2)(y-2))

Which of the following differential equations has y = x as one of its particular solution? (A) (d^2y)/(dx^2)-x^2(dy)/(dx)+x y=x (B) (d^2y)/(dx^2)+x(dy)/(dx)+x y=x (C) (d^2y)/(dx^2)-x^2(dy)/(dx)+x y=0 (D) (d^2y)/(dx^2)+x(dy)/(dx)+x y=0

Solution of the differential equation (x+y(dy)/(dx))/(y-x(dy)/(dx))=(x sin^(2)(x^(2)+y^(2)))/(y^(3))