`(1-x^(2))(dy)/(dx)-xy=x^(2)`

(1-x^(2))(dy)/(dx)-xy=1

(1-x^(2))(dy)/(dx)+xy=ax

(1+x^(2))(dy)/(dx)-2xy=(x^(2)+2)(x^(2)+1)

Solve the following differential equations: (1+x^(2))(dy)/(dx)-2xy=(x^(2)+2)(x^(2)+1)

(1-x^(2))(dy/dx)+xy=xy^(2)

(1-x^(2))(dy)/(dx)-2xy=x-x^(3)

The equation of curve passing through origin and satisfying the differential equation (1+x^(2))(dy)/(dx)+2xy=4x^(2), is

(x^(2)+1)(dy)/(dx)=xy

Intergrating factor of the differential equaiton (x^(2)+1)(dy)/(dx)+2xy=x^(2)-1 is

Solve: (1+x^(2))(dy)/(dx)+2xy-4x^(2)=0 subject to the initial condition y(0)=0