Problems 22901 to 23000

Table 6.459: Main lookup table sequentially arranged


#	ODE	Mathematica	Maple	Sympy

22901	\[ {} y^{\prime \prime \prime \prime }+16 y^{\prime \prime } = 64 \cos \left (4 x \right ) \]	✓	✓	✓

22902	\[ {} 4 y+y^{\prime \prime } = x \left (\cos \left (x \right )+1\right ) \]	✓	✓	✓

22903	\[ {} r^{\prime \prime }-2 r = -{\mathrm e}^{-2 t} \]	✓	✓	✓

22904	\[ {} y^{\prime \prime \prime }-4 y^{\prime \prime }+4 y^{\prime } = 12 \,{\mathrm e}^{2 x}+24 x^{2} \]	✓	✓	✓

22905	\[ {} y^{\prime \prime }+y = \sec \left (x \right ) \]	✓	✓	✓

22906	\[ {} x^{2} y^{\prime \prime }-4 x y^{\prime }+4 y = 24+24 x \]	✓	✓	✓

22907	\[ {} s^{\prime \prime \prime \prime }-2 s^{\prime \prime }+s = 100 \cos \left (3 t \right ) \]	✓	✓	✓

22908	\[ {} 4 y^{\prime \prime }-4 y^{\prime }+y = \ln \left (x \right ) \]	✓	✓	✓

22909	\[ {} y^{\left (5\right )}-5 y^{\prime \prime }+4 y^{\prime } = x^{2}-x +{\mathrm e}^{x} \]	✓	✓	✓

22910	\[ {} i^{\prime \prime \prime \prime }+9 i^{\prime \prime } = 20 \,{\mathrm e}^{-t} \]	✓	✓	✓

22911	\[ {} x^{2} y^{\prime \prime \prime }-x y^{\prime \prime }+y^{\prime } = \frac {\ln \left (x \right )}{x} \]	✓	✓	✓

22912	\[ {} y^{\prime \prime \prime }-2 y^{\prime \prime }+4 y^{\prime }-8 y = 64 \sin \left (2 x \right ) \]	✓	✓	✓

22913	\[ {} x^{2} y^{\prime \prime }+2 x y^{\prime }-6 y = 0 \]	✓	✓	✓

22914	\[ {} y^{\prime \prime }+\cos \left (x \right ) y^{\prime }+\left (\sin \left (x \right )+1\right ) y = 0 \]	✓	✓	✗

22915	\[ {} y^{\prime \prime \prime } = \frac {24 x +24 y}{x^{3}} \]	✓	✓	✓

22916	\[ {} x y^{\prime \prime \prime }+2 x y^{\prime \prime }-x y^{\prime }-2 x y = 1 \]	✓	✓	✓

22917	\[ {} y^{\prime \prime }+4 x y^{\prime }+\left (4 x^{2}+3\right ) y = 0 \]	✓	✓	✗

22918	\[ {} x y^{\prime \prime }+2 y^{\prime }+x y = 0 \]	✓	✓	✓

22919	\[ {} y^{\prime \prime }+\lambda y = 0 \]	✓	✓	✓

22920	\[ {} x y^{\prime } = x^{2} y^{2}-y+1 \]	✓	✓	✓

22921	\[ {} y^{\prime \prime } = {y^{\prime }}^{2} \left (2+x y^{\prime }-4 y^{2} y^{\prime }\right ) \]	✗	✓	✗

22922	\[ {} Q^{\prime \prime }+k Q = e \left (t \right ) \]	✓	✓	✓

22923	\[ {} y^{\prime \prime } = f \left (x \right ) \]	✓	✗	✓

22924	\[ {} y^{\prime \prime }+y = f \left (x \right ) \]	✓	✓	✓

22925	\[ {} y^{\prime \prime }-4 y^{\prime }+3 y = 0 \]	✓	✓	✓

22926	\[ {} y^{\prime \prime }+2 y^{\prime } = 4 \]	✓	✓	✓

22927	\[ {} y^{\prime \prime }+9 y = 20 \,{\mathrm e}^{-t} \]	✓	✓	✓

22928	\[ {} y^{\prime \prime }-2 y^{\prime }+y = 12 t \]	✓	✓	✓

22929	\[ {} y^{\prime \prime }+8 y^{\prime }+25 y = 100 \]	✓	✓	✓

22930	\[ {} y^{\prime \prime \prime }+3 y^{\prime \prime }+3 y^{\prime }+y = 12 \,{\mathrm e}^{-t} \]	✓	✓	✓

22931	\[ {} y^{\prime \prime \prime \prime }-y = \cos \left (t \right ) \]	✓	✓	✓

22932	\[ {} y^{\prime \prime }+y = 0 \]	✓	✓	✓

22933	\[ {} t y^{\prime \prime }-t y^{\prime }+y = 0 \]	✓	✓	✗

22934	\[ {} y^{\prime }+2 y = 5 \delta \left (t -1\right ) \]	✓	✓	✓

22935	\[ {} y^{\prime \prime }+y = 3 \delta \left (t -\pi \right ) \]	✓	✓	✓

22936	\[ {} y^{\prime \prime }+4 y^{\prime }+4 y = 6 \delta \left (t -2\right ) \]	✓	✓	✓

22937	\[ {} y^{\prime }+y = 0 \]	✓	✓	✓

22938	\[ {} y^{\prime } = x y \]	✓	✓	✓

22939	\[ {} y^{\prime } = 2 x -y \]	✓	✓	✓

22940	\[ {} -y+y^{\prime \prime } = 0 \]	✓	✓	✓

22941	\[ {} x y^{\prime \prime }+y^{\prime } = 0 \]	✓	✓	✓

22942	\[ {} y+x y^{\prime \prime } = 0 \]	✓	✓	✓

22943	\[ {} y+x y^{\prime }+y^{\prime \prime } = 0 \]	✓	✓	✓

22944	\[ {} x^{2} y^{\prime \prime }+x y^{\prime }-y = 0 \]	✓	✓	✓

22945	\[ {} \left (-x^{2}+1\right ) y^{\prime \prime }+y = 0 \]	✓	✓	✓

22946	\[ {} \left (1+x \right ) y^{\prime \prime }+2 y^{\prime } = 0 \]	✓	✓	✓

22947	\[ {} 2 y^{\prime \prime }-5 y^{\prime }+3 y = 0 \]	✓	✓	✓

22948	\[ {} x^{2} y^{\prime \prime }-y = 0 \]	✓	✓	✓

22949	\[ {} \left (-x^{2}+1\right ) y^{\prime \prime }-2 x y^{\prime }+6 y = 0 \]	✓	✓	✓

22950	\[ {} \left (1-x \right ) x y^{\prime \prime }+y = 0 \]	✓	✓	✓

22951	\[ {} \left (x^{2}+4\right ) y^{\prime \prime }-x y^{\prime }+y = 0 \]	✓	✓	✓

22952	\[ {} \left (x^{2}+x \right ) y^{\prime \prime }+\left (x -2\right ) y = 0 \]	✓	✓	✓

22953	\[ {} y^{\prime \prime }+x y = 0 \]	✓	✓	✓

22954	\[ {} y^{\prime }+3 y = 0 \]	✓	✓	✓

22955	\[ {} y^{\prime }+y = x^{2} \]	✓	✓	✓

22956	\[ {} y^{\prime } = y+{\mathrm e}^{x} \]	✓	✓	✓

22957	\[ {} 2 y^{\prime }+x y-y = 0 \]	✓	✓	✓

22958	\[ {} y^{\prime \prime }+x y^{\prime }-2 y = 0 \]	✓	✓	✓

22959	\[ {} y^{\prime \prime }-2 x y^{\prime }+4 y = 0 \]	✓	✓	✓

22960	\[ {} x^{2} y^{\prime \prime }-2 x y^{\prime }+2 y = 0 \]	✓	✓	✓

22961	\[ {} y^{\prime \prime }+x y = \sin \left (x \right ) \]	✓	✓	✗

22962	\[ {} \left (-x^{2}+1\right ) y^{\prime \prime }-2 x y^{\prime }+6 y = 0 \]	✓	✓	✓

22963	\[ {} y^{\prime \prime }+y \,{\mathrm e}^{x} = 0 \]	✓	✓	✓

22964	\[ {} y^{\prime \prime } \cos \left (x \right )+\sin \left (x \right ) y = 0 \]	✓	✓	✓

22965	\[ {} y^{\prime \prime }+y = 0 \]	✓	✓	✓

22966	\[ {} x y^{\prime \prime }+2 y^{\prime }+x y = 0 \]	✓	✓	✓

22967	\[ {} 2 x y^{\prime \prime }+y^{\prime }-x y = 0 \]	✓	✓	✓

22968	\[ {} \left (1-x \right ) x y^{\prime \prime }+2 y^{\prime }+2 y = 0 \]	✓	✓	✓

22969	\[ {} \left (-x^{2}+1\right ) y^{\prime \prime }-2 x y^{\prime }+12 y = 0 \]	✓	✓	✓

22970	\[ {} y+x y^{\prime \prime } = 0 \]	✓	✓	✓

22971	\[ {} x^{2} y^{\prime \prime }+x y^{\prime }+\left (x^{2}-\frac {1}{4}\right ) y = 0 \]	✓	✓	✓

22972	\[ {} x y^{\prime \prime }+\left (1-x \right ) y^{\prime }+y = 0 \]	✓	✓	✓

22973	\[ {} x y^{\prime \prime }-y^{\prime }+4 x^{2} y = 0 \]	✓	✓	✓

22974	\[ {} 4 x^{2} y^{\prime \prime }-4 x y^{\prime }+\left (-4 x^{2}+3\right ) y = 0 \]	✓	✓	✓

22975	\[ {} x y^{\prime \prime }+y^{\prime }+y = 0 \]	✓	✓	✓

22976	\[ {} -6 x y-y^{\prime }+x \left (x^{2}+2\right ) y^{\prime \prime } = 0 \]	✓	✓	✓

22977	\[ {} x^{2} y^{\prime \prime }+x y^{\prime }+\left (x^{2}-4\right ) y = 0 \]	✓	✓	✓

22978	\[ {} U^{\prime \prime }+\frac {2 U^{\prime }}{r}+a U = 0 \]	✓	✓	✗

22979	\[ {} y^{\prime \prime }-x y^{\prime }-y = 5 \sqrt {x} \]	✓	✓	✗

22980	\[ {} x y^{\prime \prime }+2 y^{\prime }+x y = 2 x \]	✓	✓	✗

22981	\[ {} \left (1-x \right ) y^{\prime \prime }+\left (2-4 x \right ) y^{\prime }-y = 0 \]	✓	✓	✓

22982	\[ {} \left (1-x \right ) y^{\prime \prime }+\left (2-4 x \right ) y^{\prime }-y = 4 x^{2} \]	✓	✓	✗

22983	\[ {} x^{2} y^{\prime \prime }+x y^{\prime }+x y = 0 \]	✓	✓	✓

22984	\[ {} x^{2} y^{\prime \prime }+x y^{\prime }+\left (x^{2}-\frac {1}{9}\right ) y = 0 \]	✓	✓	✓

22985	\[ {} x^{2} y^{\prime \prime }+x y^{\prime }+\left (x^{2}-9\right ) y = 0 \]	✓	✓	✓

22986	\[ {} x^{2} y^{\prime \prime }+x y^{\prime }+\left (x^{2}-8\right ) y = 0 \]	✓	✓	✗

22987	\[ {} x^{2} y^{\prime \prime }+x y^{\prime }+\left (3 x^{2}-4\right ) y = 0 \]	✓	✓	✓

22988	\[ {} 4 x^{2} y^{\prime \prime }+4 x y^{\prime }+\left (2 x^{2}-1\right ) y = 0 \]	✓	✓	✓

22989	\[ {} x^{2} y^{\prime \prime }+x y^{\prime }+\left (4 x^{2}-1\right ) y = 0 \]	✓	✓	✓

22990	\[ {} v^{\prime \prime }+v = 0 \]	✓	✓	✓

22991	\[ {} x y^{\prime \prime }+y^{\prime }-i x y = 0 \]	✓	✓	✗

22992	\[ {} y^{\prime \prime }+x y = 0 \]	✓	✓	✓

22993	\[ {} y+x y^{\prime \prime } = 0 \]	✓	✓	✓

22994	\[ {} x y^{\prime \prime }+y^{\prime }+x y = 0 \]	✓	✓	✓

22995	\[ {} \left (-x^{2}+1\right ) y^{\prime \prime }-2 x y^{\prime }+6 y = 0 \]	✓	✓	✓

22996	\[ {} \left (-x^{2}+1\right ) y^{\prime \prime }-2 x y^{\prime }+2 y = 0 \]	✓	✓	✓

22997	\[ {} \left (1-x \right ) x y^{\prime \prime }+\left (1-3 x \right ) y^{\prime }-y = 0 \]	✓	✓	✓

22998	\[ {} [y^{\prime }\left (t \right ) = x \left (t \right ), x^{\prime }\left (t \right ) = -y \left (t \right )] \]	✓	✓	✓

22999	\[ {} [u^{\prime }\left (x \right ) = 2 v \left (x \right )-1, v^{\prime }\left (x \right ) = 1+2 u \left (x \right )] \]	✓	✓	✓

23000	\[ {} [x^{\prime }\left (t \right ) = x \left (t \right )+y \left (t \right ), y^{\prime }\left (t \right ) = x \left (t \right )-y \left (t \right )] \]	✓	✓	✓

6.230 Problems 22901 to 23000