Problems 101 to 200

Table 4.547: Second ODE homogeneous ODE


#	ODE	Mathematica	Maple	Sympy

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

816	\[ {} y^{\prime \prime }-10 y^{\prime }+25 y = 0 \]	✓	✓	✓

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

818	\[ {} y^{\prime \prime }+6 y^{\prime }+13 y = 0 \]	✓	✓	✓

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

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

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

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

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

824	\[ {} y^{\prime \prime }+2 y^{\prime }-15 y = 0 \]	✓	✓	✓

825	\[ {} y^{\prime \prime }+5 y^{\prime } = 0 \]	✓	✓	✓

826	\[ {} 2 y^{\prime \prime }+3 y^{\prime } = 0 \]	✓	✓	✓

827	\[ {} 2 y^{\prime \prime }-y^{\prime }-y = 0 \]	✓	✓	✓

828	\[ {} 4 y^{\prime \prime }+8 y^{\prime }+3 y = 0 \]	✓	✓	✓

829	\[ {} 4 y^{\prime \prime }+4 y^{\prime }+y = 0 \]	✓	✓	✓

830	\[ {} 9 y^{\prime \prime }-12 y^{\prime }+4 y = 0 \]	✓	✓	✓

831	\[ {} 6 y^{\prime \prime }-7 y^{\prime }-20 y = 0 \]	✓	✓	✓

832	\[ {} 35 y^{\prime \prime }-y^{\prime }-12 y = 0 \]	✓	✓	✓

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

834	\[ {} x^{2} y^{\prime \prime }+2 x y^{\prime }-12 y = 0 \]	✓	✓	✓

835	\[ {} 4 x^{2} y^{\prime \prime }+8 x y^{\prime }-3 y = 0 \]	✓	✓	✓

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

837	\[ {} x^{2} y^{\prime \prime }-3 x y^{\prime }+4 y = 0 \]	✓	✓	✓

845	\[ {} y^{\prime \prime }-4 y = 0 \]	✓	✓	✓

846	\[ {} 2 y^{\prime \prime }-3 y^{\prime } = 0 \]	✓	✓	✓

847	\[ {} y^{\prime \prime }+3 y^{\prime }-10 y = 0 \]	✓	✓	✓

848	\[ {} 2 y^{\prime \prime }-7 y^{\prime }+3 y = 0 \]	✓	✓	✓

849	\[ {} y^{\prime \prime }+6 y^{\prime }+9 y = 0 \]	✓	✓	✓

850	\[ {} y^{\prime \prime }+5 y^{\prime }+5 y = 0 \]	✓	✓	✓

851	\[ {} 4 y^{\prime \prime }-12 y^{\prime }+9 y = 0 \]	✓	✓	✓

852	\[ {} y^{\prime \prime }-6 y^{\prime }+13 y = 0 \]	✓	✓	✓

853	\[ {} y^{\prime \prime }+8 y^{\prime }+25 y = 0 \]	✓	✓	✓

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

855	\[ {} 9 y^{\prime \prime }+6 y^{\prime }+4 y = 0 \]	✓	✓	✓

856	\[ {} y^{\prime \prime }-6 y^{\prime }+25 y = 0 \]	✓	✓	✓

857	\[ {} y^{\prime \prime }-2 i y^{\prime }+3 y = 0 \]	✓	✓	✓

858	\[ {} y^{\prime \prime }-i y^{\prime }+6 y = 0 \]	✓	✓	✓

859	\[ {} y^{\prime \prime } = \left (-2+2 i \sqrt {3}\right ) y \]	✓	✓	✓

860	\[ {} x^{2} y^{\prime \prime }+x y^{\prime }+9 y = 0 \]	✓	✓	✓

861	\[ {} x^{2} y^{\prime \prime }+7 x y^{\prime }+25 y = 0 \]	✓	✓	✓

862	\[ {} \frac {x^{\prime \prime }}{2}+3 x^{\prime }+4 x = 0 \]	✓	✓	✓

863	\[ {} 3 x^{\prime \prime }+30 x^{\prime }+63 x = 0 \]	✓	✓	✓

864	\[ {} x^{\prime \prime }+8 x^{\prime }+16 x = 0 \]	✓	✓	✓

865	\[ {} 2 x^{\prime \prime }+12 x^{\prime }+50 x = 0 \]	✓	✓	✓

866	\[ {} 4 x^{\prime \prime }+20 x^{\prime }+169 x = 0 \]	✓	✓	✓

867	\[ {} 2 x^{\prime \prime }+16 x^{\prime }+40 x = 0 \]	✓	✓	✓

868	\[ {} x^{\prime \prime }+10 x^{\prime }+125 x = 0 \]	✓	✓	✓

928	\[ {} x^{2} y^{\prime \prime }+x y^{\prime }-9 y = 0 \]	✓	✓	✓

929	\[ {} 4 y^{\prime \prime }-4 y^{\prime }+y = 0 \]	✓	✓	✓

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

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

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

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

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

1249	\[ {} y^{\prime \prime }+2 y^{\prime }-3 y = 0 \]	✓	✓	✓

1250	\[ {} y^{\prime \prime }+3 y^{\prime }+2 y = 0 \]	✓	✓	✓

1251	\[ {} 6 y^{\prime \prime }-y^{\prime }-y = 0 \]	✓	✓	✓

1252	\[ {} 2 y^{\prime \prime }-3 y^{\prime }+y = 0 \]	✓	✓	✓

1253	\[ {} y^{\prime \prime }+5 y^{\prime } = 0 \]	✓	✓	✓

1254	\[ {} 4 y^{\prime \prime }-9 y = 0 \]	✓	✓	✓

1255	\[ {} y^{\prime \prime }-9 y^{\prime }+9 y = 0 \]	✓	✓	✓

1256	\[ {} y^{\prime \prime }-2 y^{\prime }-2 y = 0 \]	✓	✓	✓

1257	\[ {} y^{\prime \prime }+y^{\prime }-2 y = 0 \]	✓	✓	✓

1258	\[ {} y^{\prime \prime }+4 y^{\prime }+3 y = 0 \]	✓	✓	✓

1259	\[ {} 6 y^{\prime \prime }-5 y^{\prime }+y = 0 \]	✓	✓	✓

1260	\[ {} y^{\prime \prime }+3 y^{\prime } = 0 \]	✓	✓	✓

1261	\[ {} y^{\prime \prime }+5 y^{\prime }+3 y = 0 \]	✓	✓	✓

1262	\[ {} 2 y^{\prime \prime }+y^{\prime }-4 y = 0 \]	✓	✓	✓

1263	\[ {} y^{\prime \prime }+8 y^{\prime }-9 y = 0 \]	✓	✓	✓

1264	\[ {} 4 y^{\prime \prime }-y = 0 \]	✓	✓	✓

1265	\[ {} y^{\prime \prime }-y = 0 \]	✓	✓	✓

1266	\[ {} 2 y^{\prime \prime }-3 y^{\prime }+y = 0 \]	✓	✓	✓

1267	\[ {} y^{\prime \prime }-y^{\prime }-2 y = 0 \]	✓	✓	✓

1268	\[ {} 4 y^{\prime \prime }-y = 0 \]	✓	✓	✗

1269	\[ {} y^{\prime \prime }-\left (2 \alpha -1\right ) y^{\prime }+\alpha \left (\alpha -1\right ) y = 0 \]	✓	✓	✓

1270	\[ {} y^{\prime \prime }+\left (3-\alpha \right ) y^{\prime }-2 \left (\alpha -1\right ) y = 0 \]	✓	✓	✓

1271	\[ {} 2 y^{\prime \prime }+3 y^{\prime }-2 y = 0 \]	✓	✓	✗

1272	\[ {} y^{\prime \prime }+5 y^{\prime }+6 y = 0 \]	✓	✓	✗

1273	\[ {} y^{\prime \prime }-2 y^{\prime }+2 y = 0 \]	✓	✓	✓

1274	\[ {} y^{\prime \prime }-2 y^{\prime }+6 y = 0 \]	✓	✓	✓

1275	\[ {} y^{\prime \prime }+2 y^{\prime }-8 y = 0 \]	✓	✓	✓

1276	\[ {} y^{\prime \prime }+2 y^{\prime }+2 y = 0 \]	✓	✓	✓

1277	\[ {} y^{\prime \prime }+6 y^{\prime }+13 y = 0 \]	✓	✓	✓

1278	\[ {} 4 y^{\prime \prime }+9 y = 0 \]	✓	✓	✓

1279	\[ {} y^{\prime \prime }+2 y^{\prime }+\frac {5 y}{4} = 0 \]	✓	✓	✓

1280	\[ {} 9 y^{\prime \prime }+9 y^{\prime }-4 y = 0 \]	✓	✓	✓

1281	\[ {} y^{\prime \prime }+y^{\prime }+\frac {5 y}{4} = 0 \]	✓	✓	✓

1282	\[ {} y^{\prime \prime }+4 y^{\prime }+\frac {25 y}{4} = 0 \]	✓	✓	✓

1283	\[ {} y^{\prime \prime }+4 y = 0 \]	✓	✓	✓

1284	\[ {} 5 y+4 y^{\prime }+y^{\prime \prime } = 0 \]	✓	✓	✓

1285	\[ {} y^{\prime \prime }-2 y^{\prime }+5 y = 0 \]	✓	✓	✓

1286	\[ {} y^{\prime \prime }+y = 0 \]	✓	✓	✓

1287	\[ {} y^{\prime \prime }+y^{\prime }+\frac {5 y}{4} = 0 \]	✓	✓	✓

1288	\[ {} y^{\prime \prime }+2 y^{\prime }+2 y = 0 \]	✓	✓	✓

1289	\[ {} u^{\prime \prime }-u^{\prime }+2 u = 0 \]	✓	✓	✓

1290	\[ {} 5 u^{\prime \prime }+2 u^{\prime }+7 u = 0 \]	✓	✓	✓

1291	\[ {} y^{\prime \prime }+2 y^{\prime }+6 y = 0 \]	✓	✓	✓

1292	\[ {} y^{\prime \prime }+2 a y^{\prime }+\left (a^{2}+1\right ) y = 0 \]	✓	✓	✓

1293	\[ {} t^{2} y^{\prime \prime }+t y^{\prime }+y = 0 \]	✓	✓	✓

1294	\[ {} t^{2} y^{\prime \prime }+4 t y^{\prime }+2 y = 0 \]	✓	✓	✓

4.4.2 Problems 101 to 200