2.2.2 Examples
2.2.2.1 Example 1. \(x^{2}y^{\prime \prime }+xy^{\prime }+x^{2}y=0\)
2.2.2.2 Example 2. \(x^{2}y^{\prime \prime }+xy^{\prime }+x^{2}y=\sin \left ( x\right ) \)
2.2.2.3 Example 3. \(\left ( e^{x}-1\right ) y^{\prime \prime }+e^{x}y^{\prime }+y=0\)
2.2.2.4 Example 4 \(x^{2}y^{\prime \prime }+xy^{\prime }+xy=0\)
2.2.2.5 Example 5 \(x^{2}y^{\prime \prime }+xy^{\prime }+xy=1\)
2.2.2.6 Example 6 \(x^{2}y^{\prime \prime }+xy^{\prime }+xy=\frac {1}{x}\)
2.2.2.7 Example 7 \(x^{2}y^{\prime \prime }+xy^{\prime }+xy=x\)
2.2.2.8 Example 8 \(xy^{\prime \prime }+y^{\prime }-xy=0\)
2.2.2.9 Example 9 \(\sin \left ( x\right ) y^{\prime \prime }+y^{\prime }+y=0\)