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

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(dy)/(dx)+2xy=x^(3)

Solution of xy-(dy)/(dx)=y^(3)e^(-x^(2)) is

The integrating solution of differential equation (dy)/(dx) = e^((x^(2))/(2)) + xy is

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

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

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

The general solution of differential equation (dy)/(dx)=e^((x^(2))/(2))+xy is

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

General solution of (dy)/(dx)+(2xy)/(1+x^(2))=0 is