4.9.2.1 Examples
4.9.2.1.1 Example 1 \(y^{\prime \prime }+\left ( y^{\prime }\right ) ^{2}+y^{\prime }=0\)
4.9.2.1.2 Example 2 \(y^{\prime \prime }+\left ( y^{\prime }\right ) ^{2}=1\)
4.9.2.1.3 Example 3A \(y^{\prime \prime }=\sqrt {1+\left ( y^{\prime }\right ) ^{2}}\)
4.9.2.1.4 Example 3B \(y^{\prime \prime }=\sqrt {1+\left ( y^{\prime }\right ) ^{2}}\)
4.9.2.1.5 Example 4 \(y^{\prime \prime }=\sqrt {1+\left ( y^{\prime }\right ) ^{2}}\)
4.9.2.1.6 Example 5 \(y^{\prime \prime }=\left ( y^{\prime }\right ) ^{2}\cos x\)
4.9.2.1.7 Example 6 \(2\left ( y^{\prime }\right ) ^{2}y^{\prime \prime }=-1\)
4.9.2.1.8 Example 7 \(\left ( y^{\prime \prime }\right ) ^{2}-2y^{\prime \prime }+\left ( y^{\prime }\right ) ^{2}-2xy^{\prime }+x^{2}=0\)
4.9.2.1.9 Example 8 \(y^{\prime \prime }=\left ( y^{\prime }\right ) ^{3}-\left ( y^{\prime }\right ) ^{2}\)