Problems 101 to 200

Table 5.417: Second ODE homogeneous ODE


#	ODE	Mathematica	Maple

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

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

5.4.2 Problems 101 to 200