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

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

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

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

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

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

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

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

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

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