2.6.1 Examples

2.6.1.1 Example 1 \(y^{\prime }=y^{3}\sin x\)
2.6.1.2 Example 2 \(y^{\prime }=y\left ( x-1\right ) \)
2.6.1.3 Example 3 \(y^{\prime }=f\left ( y\right ) g\left ( x\right ) \)
2.6.1.4 Example 4 \(y^{\prime }=\frac {y}{x}\)
2.6.1.5 Example 5 \(y^{\prime }=2x\sqrt {1-y^{2}}\)
2.6.1.6 Example 6 \(y^{\prime }=\frac {1-\cos \left ( 2y\right ) }{x^{2}}\)
2.6.1.7 Example 7 \(x^{3}y^{\prime }-\sin y=1\)