2.7.2 Examples
2.7.2.1 Example 1 \(y^{\prime \prime }+xy^{\prime }+y=2x+x^{2}+x^{4}\)
2.7.2.2 Example 2 \(\frac {1}{x^{5}}y^{\prime \prime }+y^{\prime }+y=0\)
2.7.2.3 Example 3 \(\frac {1}{x^{2}}y^{\prime \prime }+y^{\prime }+y=\sin x\)
2.7.2.4 Example 4. \(y^{\prime \prime }=\frac {1}{x}\)