second order bessel ode form A

Table 2.413: second order bessel ode form A


#	ODE	CAS classiﬁcation	Solved?

5648	\[ {}y^{\prime \prime }+{\mathrm e}^{2 x} y = n^{2} y \]	[[_2nd_order, _with_linear_symmetries]]	✓

10249	\[ {}y^{\prime \prime }+\left ({\mathrm e}^{2 x}-v^{2}\right ) y = 0 \]	[[_2nd_order, _with_linear_symmetries]]	✓

10250	\[ {}y^{\prime \prime }+a \,{\mathrm e}^{b x} y = 0 \]	[[_2nd_order, _with_linear_symmetries]]	✓

10264	\[ {}y^{\prime \prime }+y^{\prime }+a \,{\mathrm e}^{-2 x} y = 0 \]	[[_2nd_order, _with_linear_symmetries], [_2nd_order, _linear, ‘_with_symmetry_[0,F(x)]‘]]	✓

10265	\[ {}y^{\prime \prime }-y^{\prime }+{\mathrm e}^{2 x} y = 0 \]	[[_2nd_order, _with_linear_symmetries], [_2nd_order, _linear, ‘_with_symmetry_[0,F(x)]‘]]	✓

11987	\[ {}y^{\prime \prime }+a \,{\mathrm e}^{\lambda x} y = 0 \]	[[_2nd_order, _with_linear_symmetries]]	✓

11988	\[ {}y^{\prime \prime }+\left (a \,{\mathrm e}^{x}-b \right ) y = 0 \]	[[_2nd_order, _with_linear_symmetries]]	✓

11994	\[ {}y^{\prime \prime }+a y^{\prime }+b \,{\mathrm e}^{2 a x} y = 0 \]	[[_2nd_order, _with_linear_symmetries]]	✓

11995	\[ {}y^{\prime \prime }-a y^{\prime }+b \,{\mathrm e}^{2 a x} y = 0 \]	[[_2nd_order, _with_linear_symmetries], [_2nd_order, _linear, ‘_with_symmetry_[0,F(x)]‘]]	✓

11996	\[ {}y^{\prime \prime }+a y^{\prime }+\left (b \,{\mathrm e}^{\lambda x}+c \right ) y = 0 \]	[[_2nd_order, _with_linear_symmetries]]	✓