3.2.2.1 Examples
3.2.2.1.1 Example 1 \(y^{\prime \prime }+2y^{\prime }+y=0\)
3.2.2.1.2 Example 2 \(y^{\prime \prime }-2y^{\prime }-3y=0\)
3.2.2.1.3 Example 3 \(y^{\prime \prime }+2y^{\prime }+5y=50t-100\)
3.2.2.1.4 Example 4 \(y^{\prime \prime }+2y^{\prime }+10y=\delta \left ( t\right ) \)
3.2.2.1.5 Example 5
3.2.2.1.6 Example 6 \(y^{\prime \prime }+2y^{\prime }+y=0\)
3.2.2.1.7 Example 7 \(y^{\prime \prime \prime }+y^{\prime \prime }+y^{\prime }+y=0\)
3.2.2.1.8 Example 8 (non-constant coefficient) \(tx^{\prime \prime }\left ( t\right ) +x^{\prime }+tx=0\)