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Math Help - slope definition question

  1. #1
    MHF Contributor
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    slope definition question

    y(x) has a point (1,3) so the tangent of y(x) in (x,y) point passes y axes in a point
    2xy^2
    find y?

    how i tried:
    y'=f(x,y)
    y is the solution of the differential equation.
    without knowing y we can find its slope by putting the values in f(x,y)
    if we find a function which is tangent in every point the field then its a solution.

    the line which has a slope of y'(x)=f(x,y) passes threw (0,2xy^2)
    that is theory i know i dont know how to make it into a practice solution
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  2. #2
    Master Of Puppets
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    Quote Originally Posted by transgalactic View Post
    2xy^2
    find y?

    how i tried:
    y'=f(x,y)
    Did you try to solve \frac{dy}{dx} = 2xy^2 ?
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  3. #3
    MHF Contributor
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    i can solve this equation but
    on what basis you say that the slope line formula is 2xy^2
    they only say that this line passes threw a point (0,2xy^2)
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