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

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

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

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

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

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

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

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

Solve the following differential equation: (x^(2)-1)(dy)/(dx)+2xy=(2)/((x^(2)-1))

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

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

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