2.1 Example 1 \(9\left ( y^{\prime }\right ) ^{2}\left ( 2-y\right ) ^{2}=4\left ( 3-y\right ) \)
2.2 Example 2 \(\left ( y^{\prime }\right ) ^{2}=xy\)
2.3 Example 3 \(27y-8\left ( y^{\prime }\right ) ^{3}=0\)
2.4 Example 4 \(y-2xy^{\prime }-\ln y^{\prime }=0\)
2.5 Example 5 \(y-x\left ( 1+y^{\prime }\right ) -\left ( y^{\prime }\right ) ^{2}=0\)
2.6 Example 6 \(y-2xy^{\prime }-\sin \left ( y^{\prime }\right ) =0\)
2.7 Example 7 \(y-\left ( y^{\prime }\right ) ^{2}x+\frac {1}{y^{\prime }}=0\)
2.8 Example 8 \(xy^{\prime }+y^{\prime }-\left ( y^{\prime }\right ) ^{2}-y=0\)
2.9 Example 9 \(y=y^{\prime }x+\sqrt {4+y^{\prime 2}}\)
2.10 Example 10 \(\left ( y^{\prime }\right ) ^{2}-xy^{\prime }+y=0\)
2.11 Example 11 \(y^{\prime }=y\left ( 1-y\right ) \)
2.12 Example 12 \(\left ( y^{\prime }\right ) ^{2}x+y^{\prime }y\ln y-y^{2}\left ( \ln y\right ) ^{4}=0\)
2.13 Example 13 \(\left ( y^{\prime }\right ) ^{2}-4y=0\)
2.14 Example 14 \(1+\left ( y^{\prime }\right ) ^{2}-\frac {1}{y^{2}}=0\)
2.15 Example 15 \(y-\left ( y^{\prime }\right ) ^{2}+3xy^{\prime }-3x^{2}=0\)
2.16 Example 16 \(\left ( y^{\prime }\right ) ^{2}\left ( 1-y\right ) ^{2}-2+y=0\)
2.17 Example 17 \(\left ( y-xy^{\prime }\right ) ^{2}-\left ( y^{\prime }\right ) ^{2}=1\)
2.18 Example 18 \(y=xy^{\prime }+ay^{\prime }\left ( 1-y^{\prime }\right ) \)
2.19 Example 19 \(\left ( y^{\prime }\right ) ^{3}-4xyy^{\prime }+8y^{2}=0\)
2.20 Example 20 \(4x\left ( y^{\prime }\right ) ^{2}=\left ( 2x-1\right ) ^{2}\)
2.21 Example 21 \(y^{\prime }=2x\left ( 1-y^{2}\right ) ^{\frac {1}{2}}\)
2.22 Example 22 \(\left ( y^{\prime }\right ) ^{2}+2xy^{\prime }-y=0\)
2.23 Example 23 \(\left ( y^{\prime }\right ) ^{2}\left ( 2-3y\right ) ^{2}-4\left ( 1-y\right ) =0\)
2.24 Example 24 \(8\left ( y^{\prime }\right ) ^{3}x=y\left ( 12\left ( y^{\prime }\right ) ^{2}-9\right ) \)
2.25 Example 25 Clairaut \(y=xp+a\sqrt {1+p^{2}}\)
2.26 Example 26 Clairaut \(y=xp-e^{p}\)