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" ey "(dy)/(dx)+x^(3)cos x^(2)=0...

" ey "(dy)/(dx)+x^(3)cos x^(2)=0

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

(dy)/(dx)+xsin2y=x^(3)cos^(2)y

(dy)/(dx)+xsin2y=x^(3)cos^(2)y

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

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

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

(dy)/(dx)-cos x=0

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

x ^ (2) yx ^ (3) (dy) / (dx) = y ^ (4) cos x