differential calculus

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find the implicit function of x^3+3^y=3xy

  • differential calculus -

    Not sure if you can solve it explicitly. A 3-d plot is possible with most graphics software. The solution curve is given by the contour x^3+3^y-3xy=0.
    See for example:
    http://imageshack.us/photo/my-images/163/1313500261.png/

  • differential calculus -

    examine this closely.

    3x^2 dx+3^y * ln3*dy=3y dx + 3x dy

    dy/dx= 3(y-x^2) / (ln3*3^y -3x)

    check my algebra, I gathered terms in my head.

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