second order bessel ode form A

Table 2.485: second order bessel ode form A


#	ODE	CAS classiﬁcation	Solved?

6088	\[ {}y^{\prime \prime }+{\mathrm e}^{2 x} y = n^{2} y \]	[[_2nd_order, _with_linear_symmetries]]	✓

10805	\[ {}y^{\prime \prime }+\left ({\mathrm e}^{2 x}-v^{2}\right ) y = 0 \]	[[_2nd_order, _with_linear_symmetries]]	✓

10806	\[ {}y^{\prime \prime }+a \,{\mathrm e}^{b x} y = 0 \]	[[_2nd_order, _with_linear_symmetries]]	✓

10820	\[ {}y^{\prime \prime }+y^{\prime }+a \,{\mathrm e}^{-2 x} y = 0 \]	[[_2nd_order, _with_linear_symmetries], [_2nd_order, _linear, ‘_with_symmetry_[0,F(x)]‘]]	✓

10821	\[ {}y^{\prime \prime }-y^{\prime }+{\mathrm e}^{2 x} y = 0 \]	[[_2nd_order, _with_linear_symmetries], [_2nd_order, _linear, ‘_with_symmetry_[0,F(x)]‘]]	✓

12543	\[ {}y^{\prime \prime }+a \,{\mathrm e}^{\lambda x} y = 0 \]	[[_2nd_order, _with_linear_symmetries]]	✓

12544	\[ {}y^{\prime \prime }+\left (a \,{\mathrm e}^{x}-b \right ) y = 0 \]	[[_2nd_order, _with_linear_symmetries]]	✓

12550	\[ {}y^{\prime \prime }+a y^{\prime }+b \,{\mathrm e}^{2 a x} y = 0 \]	[[_2nd_order, _with_linear_symmetries]]	✓

12551	\[ {}y^{\prime \prime }-a y^{\prime }+b \,{\mathrm e}^{2 a x} y = 0 \]	[[_2nd_order, _with_linear_symmetries], [_2nd_order, _linear, ‘_with_symmetry_[0,F(x)]‘]]	✓

12552	\[ {}y^{\prime \prime }+a y^{\prime }+\left (b \,{\mathrm e}^{\lambda x}+c \right ) y = 0 \]	[[_2nd_order, _with_linear_symmetries]]	✓