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

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

(x^(2)+1)(dy)/(dx)+2xy=sqrt(x^(2)+4)

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

Solve x^2((dy)/(dx))+y=1

Solve (1+x^(3))(dy)/(dx)+6x^(2)y=1+x^(2)

For each of the differential equations given in find a particular solution satisfying the given condition : (1+x^(2))(dy)/(dx)+2xy=(1)/(1+x^(2)), y=0 when x=1

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