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For the differential equation (x^2+y^2)d...

For the differential equation `(x^2+y^2)dx-2xy dy=0`, which of the following are true. (A) solution is `x^2+y^2=cx` (B) `x^2-y^2=cx` (C) `x^2-y^2=x+c` (D) `y(0)=0`

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Knowledge Check

  • Solution of the differential equation (x^(2)+2y^(2))dx-xy dy=0, when y (9)=0 is

    A
    `x^(4)=-81(x^(2)+y^(2))`
    B
    `x^(4)=81(x^(2)+y^(2))`
    C
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    D
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  • Solution of differential equation (x^(2) -2x+2y^(2))dx + 2xy dy=0 is

    A
    `y^(2) =2x - (1)/(4) x^(2) + (c )/(x^(2))`
    B
    `y^(2) = (2)/(3)x-x^(2) + (c )/(x^(2))`
    C
    `y^(2) =(2)/(3) x -(x^(2))/(4) + (c )/(x^(2))`
    D
    None of these

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

    A
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    B
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    C
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    D
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