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32.(1-x^(2))(dy)/(dx)+xy=ax...

32.(1-x^(2))(dy)/(dx)+xy=ax

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

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

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

Solutions of the differential equation (1-x^(2))(dy)/(dx)+xy=ax where a in R is

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

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

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

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

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

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