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$The solution of differential equation (2 y + x y^{3}) d x + (x + x^{2} y^{2}) d y = 0 is$

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x2y2+x3y33+c

xy2+x3y33+c

x2y+x3y33=c

x2y2+xy3+c

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detailed solution

Correct option is C

2ydx+xdy+xy3dx+x2y2dy=0 multiplying by x2xydx+x2dy+x2y2(ydx+xdy)=0dx2y+x2y2d(xy)=0 x2y+x3y33=c

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The solution of differential equation 2y+xy3dx+x+x2y2dy=0 is

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$The solution of differential equation (2 y + x y^{3}) d x + (x + x^{2} y^{2}) d y = 0 is$