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## Main Question or Discussion Point

I have a TI graphing calculator and I'd like to graph the following equation,...

[tex]x^3+y^3-3xy = 0[/tex]

I'm not sure how to graph this on my TI

I took the derivative of the above with respect to x,...

[tex]3x^2+3y^2\frac {dy}{dx}-3x\frac{dy}{dx}-3y=0[/tex]

Which I solved as,....

[tex]\frac{dy}{dx}=\frac{y-x^2}{y^2-x}[/tex]

I'd also like to graph this differential field if possble.

Any suggestions for graphing either the original equation or the differential equation?

I have access to both the TI-89 and the TI-92 calculators. Thanks.

[tex]x^3+y^3-3xy = 0[/tex]

I'm not sure how to graph this on my TI

I took the derivative of the above with respect to x,...

[tex]3x^2+3y^2\frac {dy}{dx}-3x\frac{dy}{dx}-3y=0[/tex]

Which I solved as,....

[tex]\frac{dy}{dx}=\frac{y-x^2}{y^2-x}[/tex]

I'd also like to graph this differential field if possble.

Any suggestions for graphing either the original equation or the differential equation?

I have access to both the TI-89 and the TI-92 calculators. Thanks.