Problems 1 to 100

Table 5.1099: Second order, Linear, Homogeneous and constant coeﬃcients


#	ODE	Mathematica	Maple

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

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

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

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	\[ {}y^{\prime \prime }-y = 0 \]	✓	✓

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

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

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

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

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

5.25.1 Problems 1 to 100