Problems 1 to 100

Table 4.1463: Second order, Linear, Homogeneous and constant coeﬃcients


#	ODE	Mathematica	Maple	Sympy

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

237	\[ {} 2 y^{\prime \prime }+3 y^{\prime } = 0 \]	✓	✓	✓

238	\[ {} 2 y^{\prime \prime }-y^{\prime }-y = 0 \]	✓	✓	✓

239	\[ {} 4 y^{\prime \prime }+8 y^{\prime }+3 y = 0 \]	✓	✓	✓

240	\[ {} 4 y^{\prime \prime }+4 y^{\prime }+y = 0 \]	✓	✓	✓

241	\[ {} 9 y^{\prime \prime }-12 y^{\prime }+4 y = 0 \]	✓	✓	✓

242	\[ {} 6 y^{\prime \prime }-7 y^{\prime }-20 y = 0 \]	✓	✓	✓

243	\[ {} 35 y^{\prime \prime }-y^{\prime }-12 y = 0 \]	✓	✓	✓

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

265	\[ {} 4 y^{\prime \prime }-4 y^{\prime }+y = 0 \]	✓	✓	✓

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

272	\[ {} 2 y^{\prime \prime }-3 y^{\prime } = 0 \]	✓	✓	✓

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

274	\[ {} 2 y^{\prime \prime }-7 y^{\prime }+3 y = 0 \]	✓	✓	✓

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

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

277	\[ {} 4 y^{\prime \prime }-12 y^{\prime }+9 y = 0 \]	✓	✓	✓

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

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

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

292	\[ {} 9 y^{\prime \prime }+6 y^{\prime }+4 y = 0 \]	✓	✓	✓

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

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

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

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

530	\[ {} x^{\prime \prime }+4 x = 0 \]	✓	✓	✓

531	\[ {} x^{\prime \prime }+9 x = 0 \]	✓	✓	✓

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

533	\[ {} x^{\prime \prime }+8 x^{\prime }+15 x = 0 \]	✓	✓	✓

541	\[ {} x^{\prime \prime }+6 x^{\prime }+25 x = 0 \]	✓	✓	✓

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

4.25.1 Problems 1 to 100