Posted by **sofia** on Tuesday, August 16, 2011 at 9:11am.

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

- differential calculus -
**MathMate**, Tuesday, August 16, 2011 at 9:47am
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 -
**bobpursley**, Tuesday, August 16, 2011 at 9:47am
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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