2.4.1 Examples

2.4.1.1 Example 1 \(y^{\prime }=y\)
2.4.1.2 Example 2 \(y^{\prime }=y-1\)
2.4.1.3 Example 3 \(y^{\prime }=x\)
2.4.1.4 Example 4 \(y^{\prime }=\sin y+1\)
2.4.1.5 Example 5 \(y^{\prime }=y\left ( y-1\right ) \left ( y-3\right ) \)
2.4.1.6 Example 6 \(y^{\prime }=ay-by^{2}\)
2.4.1.7 Example 7 \(y^{\prime }=\sin y\)
2.4.1.8 Example 8 \(y^{\prime }-2y=2\sqrt {y}\)
2.4.1.9 Example 9 \(\cos \left ( y\right ) y^{\prime }=1\)
2.4.1.10 Example 10 \(y^{\prime }=ay^{\frac {a-1}{a}}\)
2.4.1.11 Example 11 \(y^{\prime }\sin \left ( y^{\prime }\right ) +\cos \left ( y^{\prime }\right ) =y\)
2.4.1.12 Example 12 \(\left ( y^{\prime }\right ) ^{4}+4y\left ( y^{\prime }\right ) ^{3}+6y^{2}\left ( y^{\prime }\right ) ^{2}-\left ( 1-4y^{3}\right ) y^{\prime }-\left ( 3-y^{3}\right ) y=0\)