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

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(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-x^(3)

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

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

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

The solution of (1-x^(2))(dy)/(dx)+xy=5x

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

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