Problems 701 to 707

Table 5.561: Second order non-linear ODE


#	ODE	Mathematica	Maple

19605	\[ {}y^{\prime \prime }+y^{\prime }+{y^{\prime }}^{3} = 0 \]	✓	✓

19606	\[ {}\left (x^{2}+1\right ) y^{\prime \prime }+1+{y^{\prime }}^{2} = 0 \]	✓	✓

19607	\[ {}y \left (1-\ln \left (y\right )\right ) y^{\prime \prime }+\left (1+\ln \left (y\right )\right ) {y^{\prime }}^{2} = 0 \]	✓	✓

19608	\[ {}y y^{\prime \prime }-{y^{\prime }}^{2} = y^{2} \ln \left (y\right ) \]	✓	✓

19609	\[ {}y^{\prime }-y y^{\prime \prime } = n \sqrt {{y^{\prime }}^{2}+a^{2} y^{\prime \prime }} \]	✗	✗

19612	\[ {}x^{4} y^{\prime \prime } = \left (-x y^{\prime }+y\right )^{3} \]	✓	✓

19613	\[ {}x y^{\prime \prime }+2 y^{\prime } = x^{2} y^{\prime }-y^{2} \]	✗	✗