大神帮忙,数学
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z = f(x,y).
3z^2*Dz/Dx - 2y = 0, Dz/Dx = 2y/(3z^2).
3z^2*Dz/Dy - 2x +1 = 0, Dz/Dy = (2x-1)/(3z^2).
6z*(Dz/Dx)^2 + 3z^2*D^2z/Dx^2 = 0,
D^2z/Dx^2 = -2(Dz/Dx)^2/z = (-2/z)[2y/(3z^2)]^2 = -8y^2z/(9z^5).
6z*(Dz/Dy)^2 + 3z^2*D^2z/Dy^2 = 0,
D^2z/Dy^2 = -2(Dz/Dy)^2/z = (-2/z)[(2x-1)/(3z^2)]^2 = -2(2x-1)^2/(9z^5)
3z^2*Dz/Dx - 2y = 0, Dz/Dx = 2y/(3z^2).
3z^2*Dz/Dy - 2x +1 = 0, Dz/Dy = (2x-1)/(3z^2).
6z*(Dz/Dx)^2 + 3z^2*D^2z/Dx^2 = 0,
D^2z/Dx^2 = -2(Dz/Dx)^2/z = (-2/z)[2y/(3z^2)]^2 = -8y^2z/(9z^5).
6z*(Dz/Dy)^2 + 3z^2*D^2z/Dy^2 = 0,
D^2z/Dy^2 = -2(Dz/Dy)^2/z = (-2/z)[(2x-1)/(3z^2)]^2 = -2(2x-1)^2/(9z^5)
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