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The solution of the differential equatio...

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

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Knowledge Check

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

    A
    `x^(2)(2xy+y^(2))=C^(2)`
    B
    `x^(2)(2xy-y^(2))=C^(2)`
    C
    `x^(2)(y^(2)-2xy)=C^(2)`
    D
    None of the above

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

    A
    log (x/y) = 1/x+1/y+c
    B
    log (y/x) = 1/x+1/y+c
    C
    log(xy) = 1/x + 1/y + c
    D
    log(xy)+ 1/x + 1/y = c

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

    A
    `e^(y//x)=k x`
    B
    `e^(y//x)=k y`
    C
    `e^(x//y)= k x`
    D
    `e^(-y//x)=k y`

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