second order ode ﬂip role

Table 2.499: second order ode ﬂip role


#	ODE	CAS classiﬁcation	Solved?

11721	\[ {}y^{\prime \prime } y-{y^{\prime }}^{2}-1-2 a y \left ({y^{\prime }}^{2}+1\right )^{{3}/{2}} = 0 \]	[[_2nd_order, _missing_x]]	✓

11786	\[ {}2 y \left (1-y\right ) y^{\prime \prime }-\left (1-3 y\right ) {y^{\prime }}^{2}+h \left (y\right ) = 0 \]	[[_2nd_order, _missing_x]]	✓

11789	\[ {}3 y \left (1-y\right ) y^{\prime \prime }-2 \left (1-2 y\right ) {y^{\prime }}^{2}-h \left (y\right ) = 0 \]	[[_2nd_order, _missing_x]]	✓

11790	\[ {}\left (1-y\right ) y^{\prime \prime }-3 \left (1-2 y\right ) {y^{\prime }}^{2}-h \left (y\right ) = 0 \]	[[_2nd_order, _missing_x]]	✓

11791	\[ {}a y \left (-1+y\right ) y^{\prime \prime }+\left (b y+c \right ) {y^{\prime }}^{2}+h \left (y\right ) = 0 \]	[[_2nd_order, _missing_x]]	✓

11813	\[ {}h \left (y\right ) y^{\prime \prime }+a h \left (y\right ) {y^{\prime }}^{2}+j \left (y\right ) = 0 \]	[[_2nd_order, _missing_x]]	✓

11853	\[ {}y^{\prime \prime }-f \left (y\right ) = 0 \]	[[_2nd_order, _missing_x], [_2nd_order, _reducible, _mu_x_y1]]	✓

13927	\[ {}m x^{\prime \prime } = f \left (x\right ) \]	[[_2nd_order, _missing_x], [_2nd_order, _reducible, _mu_x_y1]]	✓