Problems 1 to 100

Table 5.985: Higher order, Linear, Homogeneous and constant coeﬃcients


#	ODE	Mathematica	Maple

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

250	\[ {}y^{\prime \prime \prime }-6 y^{\prime \prime }+11 y^{\prime }-6 y = 0 \]	✓	✓

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

252	\[ {}y^{\prime \prime \prime }-5 y^{\prime \prime }+8 y^{\prime }-4 y = 0 \]	✓	✓

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

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

280	\[ {}5 y^{\prime \prime \prime \prime }+3 y^{\prime \prime \prime } = 0 \]	✓	✓

281	\[ {}y^{\prime \prime \prime \prime }-8 y^{\prime \prime \prime }+16 y^{\prime \prime } = 0 \]	✓	✓

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

283	\[ {}9 y^{\prime \prime \prime }+12 y^{\prime \prime }+4 y^{\prime } = 0 \]	✓	✓

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

285	\[ {}y^{\prime \prime \prime \prime }-8 y^{\prime \prime }+16 y = 0 \]	✓	✓

286	\[ {}y^{\prime \prime \prime \prime }+18 y^{\prime \prime }+81 y = 0 \]	✓	✓

287	\[ {}6 y^{\prime \prime \prime \prime }+11 y^{\prime \prime }+4 y = 0 \]	✓	✓

288	\[ {}y^{\prime \prime \prime \prime } = 16 y \]	✓	✓

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

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

294	\[ {}2 y^{\prime \prime \prime }-3 y^{\prime \prime }-2 y^{\prime } = 0 \]	✓	✓

295	\[ {}3 y^{\prime \prime \prime }+2 y^{\prime \prime } = 0 \]	✓	✓

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

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

298	\[ {}2 y^{\prime \prime \prime }-y^{\prime \prime }-5 y^{\prime }-2 y = 0 \]	✓	✓

299	\[ {}y^{\prime \prime \prime }+27 y = 0 \]	✓	✓

300	\[ {}y^{\prime \prime \prime \prime }-y^{\prime \prime \prime }+y^{\prime \prime }-3 y^{\prime }-6 y = 0 \]	✓	✓

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

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

303	\[ {}y^{\prime \prime \prime }+3 y^{\prime \prime }-54 y = 0 \]	✓	✓

304	\[ {}3 y^{\prime \prime \prime }-2 y^{\prime \prime }+12 y^{\prime }-8 y = 0 \]	✓	✓

305	\[ {}6 y^{\prime \prime \prime \prime }+5 y^{\prime \prime \prime }+25 y^{\prime \prime }+20 y^{\prime }+4 y = 0 \]	✓	✓

306	\[ {}9 y^{\prime \prime \prime }+11 y^{\prime \prime }+4 y^{\prime }-14 y = 0 \]	✓	✓

307	\[ {}y^{\prime \prime \prime \prime } = y^{\prime \prime \prime } \]	✓	✓

308	\[ {}y^{\prime \prime \prime }-5 y^{\prime \prime }+100 y^{\prime }-500 y = 0 \]	✓	✓

312	\[ {}y^{\prime \prime \prime } = y \]	✓	✓

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

425	\[ {}y^{\prime \prime \prime } = y \]	✓	✓

545	\[ {}x^{\prime \prime \prime }+x^{\prime \prime }-6 x^{\prime } = 0 \]	✓	✓

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

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

548	\[ {}x^{\prime \prime \prime \prime }+13 x^{\prime \prime }+36 x = 0 \]	✓	✓

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

935	\[ {}5 y^{\prime \prime \prime \prime }+3 y^{\prime \prime \prime } = 0 \]	✓	✓

936	\[ {}y^{\prime \prime \prime \prime }-8 y^{\prime \prime \prime }+16 y^{\prime \prime } = 0 \]	✓	✓

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

938	\[ {}9 y^{\prime \prime \prime }+12 y^{\prime \prime }+4 y^{\prime } = 0 \]	✓	✓

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

940	\[ {}y^{\prime \prime \prime \prime }-16 y^{\prime \prime }+16 y = 0 \]	✓	✓

941	\[ {}y^{\prime \prime \prime \prime }+18 y^{\prime \prime }+81 y = 0 \]	✓	✓

942	\[ {}6 y^{\prime \prime \prime \prime }+11 y^{\prime \prime }+4 y = 0 \]	✓	✓

943	\[ {}y^{\prime \prime \prime \prime } = 16 y \]	✓	✓

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

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

946	\[ {}2 y^{\prime \prime \prime }-3 y^{\prime \prime }-2 y^{\prime } = 0 \]	✓	✓

947	\[ {}3 y^{\prime \prime \prime }+2 y^{\prime \prime } = 0 \]	✓	✓

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

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

950	\[ {}2 y^{\prime \prime \prime }-y^{\prime \prime }-5 y^{\prime }-2 y = 0 \]	✓	✓

951	\[ {}y^{\prime \prime \prime }+27 y = 0 \]	✓	✓

952	\[ {}y^{\prime \prime \prime \prime }-y^{\prime \prime \prime }+y^{\prime \prime }-3 y^{\prime }-6 y = 0 \]	✓	✓

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

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

955	\[ {}y^{\prime \prime \prime }-5 y^{\prime \prime }+100 y^{\prime }-500 y = 0 \]	✓	✓

956	\[ {}y^{\prime \prime \prime } = y \]	✓	✓

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

1464	\[ {}y^{\prime \prime \prime \prime }+y^{\prime \prime } = 0 \]	✓	✓

1465	\[ {}y^{\prime \prime \prime }+2 y^{\prime \prime }-y^{\prime }-2 y = 0 \]	✓	✓

1468	\[ {}y^{\prime \prime \prime }+2 y^{\prime \prime }-y^{\prime }-3 y = 0 \]	✓	✓

1472	\[ {}y^{\prime \prime \prime }-y^{\prime \prime }-y^{\prime }+y = 0 \]	✓	✓

1473	\[ {}y^{\prime \prime \prime }-3 y^{\prime \prime }+3 y^{\prime }+y = 0 \]	✓	✓

1474	\[ {}y^{\prime \prime \prime \prime }-4 y^{\prime \prime \prime }+4 y^{\prime \prime } = 0 \]	✓	✓

1475	\[ {}y^{\left (6\right )}+y = 0 \]	✓	✓

1476	\[ {}y^{\left (6\right )}-3 y^{\prime \prime \prime \prime }+3 y^{\prime \prime }-y = 0 \]	✓	✓

1477	\[ {}y^{\left (6\right )}-y^{\prime \prime } = 0 \]	✓	✓

1478	\[ {}y^{\left (5\right )}-3 y^{\prime \prime \prime \prime }+3 y^{\prime \prime \prime }-3 y^{\prime \prime }+2 y^{\prime } = 0 \]	✓	✓

1479	\[ {}y^{\left (8\right )}+8 y^{\prime \prime \prime \prime }+16 y = 0 \]	✓	✓

1480	\[ {}y^{\prime \prime \prime \prime }+2 y^{\prime \prime }+y = 0 \]	✓	✓

1481	\[ {}y^{\prime \prime \prime }+5 y^{\prime \prime }+6 y^{\prime }+2 y = 0 \]	✓	✓

1482	\[ {}y^{\prime \prime \prime \prime }-7 y^{\prime \prime \prime }+6 y^{\prime \prime }+30 y^{\prime }-36 y = 0 \]	✓	✓

1488	\[ {}y^{\prime \prime \prime \prime }-4 y^{\prime \prime \prime }+6 y^{\prime \prime }-4 y^{\prime }+y = 0 \]	✓	✓

1489	\[ {}y^{\prime \prime \prime \prime }-4 y = 0 \]	✓	✓

2108	\[ {}y^{\prime \prime \prime \prime }+y^{\prime \prime \prime }-7 y^{\prime \prime }-y^{\prime }+6 y = 0 \]	✓	✓

2113	\[ {}y^{\prime \prime \prime }+y^{\prime \prime }-y^{\prime }-y = 0 \]	✓	✓

2114	\[ {}y^{\prime \prime \prime }-3 y^{\prime \prime }+7 y^{\prime }-5 y = 0 \]	✓	✓

2115	\[ {}y^{\prime \prime \prime }-3 y^{\prime \prime }+3 y^{\prime }-y = 0 \]	✓	✓

2116	\[ {}y^{\prime \prime \prime \prime }+8 y^{\prime \prime }-9 y = 0 \]	✓	✓

2117	\[ {}y^{\prime \prime \prime }-y^{\prime \prime }+16 y^{\prime }-16 y = 0 \]	✓	✓

2118	\[ {}2 y^{\prime \prime \prime }+3 y^{\prime \prime }-2 y^{\prime }-3 y = 0 \]	✓	✓

2119	\[ {}y^{\prime \prime \prime }+5 y^{\prime \prime }+9 y^{\prime }+5 y = 0 \]	✓	✓

2120	\[ {}4 y^{\prime \prime \prime }-8 y^{\prime \prime }+5 y^{\prime }-y = 0 \]	✓	✓

2121	\[ {}27 y^{\prime \prime \prime }+27 y^{\prime \prime }+9 y^{\prime }+y = 0 \]	✓	✓

2122	\[ {}y^{\prime \prime \prime \prime }+y^{\prime \prime } = 0 \]	✓	✓

2123	\[ {}y^{\prime \prime \prime \prime }-16 y = 0 \]	✓	✓

2124	\[ {}y^{\prime \prime \prime \prime }+12 y^{\prime \prime }+36 y = 0 \]	✓	✓

2125	\[ {}16 y^{\prime \prime \prime \prime }-72 y^{\prime \prime }+81 y = 0 \]	✓	✓

2126	\[ {}6 y^{\prime \prime \prime \prime }+5 y^{\prime \prime \prime }+7 y^{\prime \prime }+5 y^{\prime }+y = 0 \]	✓	✓

2127	\[ {}4 y^{\prime \prime \prime \prime }+12 y^{\prime \prime \prime }+3 y^{\prime \prime }-13 y^{\prime }-6 y = 0 \]	✓	✓

2128	\[ {}y^{\prime \prime \prime \prime }-4 y^{\prime \prime \prime }+7 y^{\prime \prime }-6 y^{\prime }+2 y = 0 \]	✓	✓

2129	\[ {}y^{\prime \prime \prime }-2 y^{\prime \prime }+4 y^{\prime }-8 y = 0 \]	✓	✓

2130	\[ {}y^{\prime \prime \prime }+3 y^{\prime \prime }-y^{\prime }-3 y = 0 \]	✓	✓

2131	\[ {}y^{\prime \prime \prime }-y^{\prime \prime }-y^{\prime }+y = 0 \]	✓	✓

2132	\[ {}y^{\prime \prime \prime }-2 y^{\prime }-4 y = 0 \]	✓	✓

5.21.1 Problems 1 to 100