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The solution of (xy^(2) + x) dx + (yx^(2...

The solution of `(xy^(2) + x) dx + (yx^(2) + y) dy = 0` is

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Knowledge Check

  • The solution of (x+y)^(2)(dy)/(dx) = a^(2) is

    A
    `y = tan^(-1)((x+y)/(a)) + c`
    B
    `a y = tan^(-1)(x+y) + c`
    C
    `y = a tan^(-1)((x+y)/(a)) + c`
    D
    `x = a tan^(-1)((x+y)/(a)) + c`

  • The solution of (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) = cy`
    D
    `x^(2) + y^(2) = cx^(2)`

  • The solution of (x^(2) + y^(2)) dx = 2xy dy is

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

    • Similar Questions

    Explore conceptually related problems

    The solution of (x^(2) + y^(2))dx = 2xy dy is

    The solution of y^(2) dx + (3xy -1) dy = 0 is

    The solution of (dx)/(dy) + (x)/(y) = x^(2) is

    The solution of (dx)/(dy)+(x)/(y)=-x^(2) is

    The solution of (dx)/(dy) + (x)/(y) = x^(2) is

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