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The solution of the differential equatio...

The solution of the differential equation `(x^2y^2-1)dy+2xy^3dx=0` is

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Knowledge Check

  • The solution of the differential equation xy^2 dy -(x^3+y^3)dx=0 is

    A
    `y^3=3x^3+C`
    B
    `y^3=3x^3 log (Cx)`
    C
    `y^3=3x^3+log(Cx)`
    D
    `y^3+3x^3=log(Cx)`

  • Solution of the differential equation (x^(2)+y^(2))dy-xy dx=0 is

    A
    `log|y|=(x^(2))/(2y^(2))+c`
    B
    `log|y|=(-x^(2))/(2y^(2))+c`
    C
    `log|y|=(x^(2))/(y^(2))+c`
    D
    `log|y|=(-x^(2))/(y^(2))+c`

  • Solution of the differential equation (x^(2)-y^(2))dx+2xy dy=0 is

    A
    `x^(2)-y^(2)=cx`
    B
    `x^(2)+y^(2)=cx`
    C
    `x^(2)-y^(2)=cx^(2)`
    D
    `x^(2)+y^(2)=cx^(2)`

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    The solution of differential equation x^(2)y^(2)dy = (1-xy^(3))dx is

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    the solution of differential equation (x^2+y^2)-2xy(dy)/dx=0 is

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