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" 5."quad (1-x^(2))(dy)/(dx)+xy=xy^(2)...

" 5."quad (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=ax

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

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

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

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

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

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

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