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using the subsitiution y = vx : (1) (x...

using the subsitiution y = vx :
(1) `(x(dy)/(dx) -y)^(e^(y/x) =x^(2) cos x`

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(x(dy)/(dx) -y ) sin (y /x) =x^(2)e^(x) , y = vx

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e ^ (y) (dy) / (dx) + x ^ (3) cos x ^ (2) = 0