2.1 \(9p^{2}\left ( 2-y\right ) ^{2}=4\left ( 3-y\right ) \)
2.2 \(p^{2}=xy\)
2.3 \(27y-8p^{3}=0\)
2.4 \(y-2xp-\ln p=0\)
2.5 \(y-x\left ( 1+p\right ) -p^{2}=0\)
2.6 \(y-2xp-\sin \left ( p\right ) =0\)
2.7 \(y-p^{2}x+\frac {1}{p}=0\)
2.8 \(xp+p-p^{2}-y=0\)
2.9 \(y=px+\sqrt {4+p^{2}}\)
2.10 \(p^{2}-xp+y=0\)
2.11 \(p=y\left ( 1-y\right ) \)
2.12 \(p^{2}x+py\ln y-y^{2}\left ( \ln y\right ) ^{4}=0\)
2.13 \(p^{2}-4y=0\)
2.14 \(1+p^{2}-\frac {1}{y^{2}}=0\)
2.15 \(y-p^{2}+3xp-3x^{2}=0\)
2.16 \(p^{2}\left ( 1-y\right ) ^{2}-2+y=0\)
2.17 \(\left ( y-xp\right ) ^{2}-p^{2}=1\)
2.18 \(y=xp+ap\left ( 1-p\right ) \)
2.19 \(p^{3}-4xyp+8y^{2}=0\)
2.20 \(4xp^{2}=\left ( 2x-1\right ) ^{2}\)
2.21 \(p=2x\left ( 1-y^{2}\right ) ^{\frac {1}{2}}\)
2.22 \(p^{2}+2xp-y=0\)
2.23 \(p^{2}\left ( 2-3y\right ) ^{2}-4\left ( 1-y\right ) =0\)
2.24 \(8p^{3}x=y\left ( 12p^{2}-9\right ) \)
2.25 Clairaut \(y=xp+a\sqrt {1+p^{2}}\)
2.26 Clairaut \(y=xp-e^{p}\)
2.27 \(p^{2}\left ( 1-x^{2}\right ) =1-y^{2}\)
2.28 \(y^{2}\left ( 1+p^{2}\right ) =4\)
2.29 Clairaut \(y=px-\arcsin \left ( p\right ) \)
2.30 \(4xp^{2}=\left ( 3x-b\right ) ^{2}\)
2.31 \(4p^{2}x\left ( x-A\right ) \left ( x-B\right ) =\left ( 3x^{2}-2x\left ( A+B\right ) +AB\right ) ^{2}\)