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" 11.(i) "(dy)/(dx)+(3xy+y^(2))/(x^(2)+x...

" 11.(i) "(dy)/(dx)+(3xy+y^(2))/(x^(2)+xy)=0

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Solve the differential equations (i) (dy)/(dx)+(3xy+y^(2))/(x^(2)+xy)=0

Solve the differential equations (i) (dy)/(dx)+(3xy+y^(2))/(x^(2)+xy)=0

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

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

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

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

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

(dy)/(dx)+(xy+y)/(xy+x)=0

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