What is the second degree differentiation of x³+y³=3axy?
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3x²+3y²y'=3a(xy'+y)
6x+3(2yy'+y²y'')=3a(y'+xy''+y')
6x+6yy'+3y²y''=3ay'+3axy''+3ay'
3y²y"-3axy"=6ay'-6yy'-6x
y"(3y²-3ax)=6(ay'-yy'-x)
y"=2(ay'-yy'-x)/(y²-ax)
6x+3(2yy'+y²y'')=3a(y'+xy''+y')
6x+6yy'+3y²y''=3ay'+3axy''+3ay'
3y²y"-3axy"=6ay'-6yy'-6x
y"(3y²-3ax)=6(ay'-yy'-x)
y"=2(ay'-yy'-x)/(y²-ax)
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