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" Work the previous problem for the line...

" Work the previous problem for the line integral "oint_(C)(x^(2)+y^(2))dx+3xy^(2)dy

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

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

(x^(3)-3xy^(2))dx=(y^(3)-3x^(2)y)dy

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

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

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

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

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

y^2dx+(x^2-xy+y^2)dy=0