Problems 1 to 100

Table 5.803: Third and higher order homogeneous ODE


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

255	\[ {}x^{3} y^{\prime \prime \prime }-3 x^{2} y^{\prime \prime }+6 x y^{\prime }-6 y = 0 \]	✓	✓

256	\[ {}x^{3} y^{\prime \prime \prime }+6 x^{2} y^{\prime \prime }+4 x y^{\prime }-4 y = 0 \]	✓	✓

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

314	\[ {}a \,x^{3} y^{\prime \prime \prime }+b \,x^{2} y^{\prime \prime }+c x y^{\prime }+y d = 0 \]	✓	✓

317	\[ {}x^{3} y^{\prime \prime \prime }+6 x^{2} y^{\prime \prime }+4 x y^{\prime } = 0 \]	✓	✓

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

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

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

321	\[ {}x^{3} y^{\prime \prime \prime }+6 x^{2} y^{\prime \prime }+7 x y^{\prime }+y = 0 \]	✓	✓

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

958	\[ {}x^{3} y^{\prime \prime \prime }+6 x^{2} y^{\prime \prime }+4 x y^{\prime } = 0 \]	✓	✓

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

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

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

962	\[ {}x^{3} y^{\prime \prime \prime }+6 x^{2} y^{\prime \prime }+7 x y^{\prime }+y = 0 \]	✓	✓

1463	\[ {}t \left (t -1\right ) y^{\prime \prime \prime \prime }+{\mathrm e}^{t} y^{\prime \prime }+4 t^{2} y = 0 \]	✗	✗

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

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

1466	\[ {}x y^{\prime \prime \prime }-y^{\prime \prime } = 0 \]	✓	✓

1467	\[ {}x^{3} y^{\prime \prime \prime }+x^{2} y^{\prime \prime }-2 x y^{\prime }+2 y = 0 \]	✓	✓

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

1469	\[ {}t y^{\prime \prime \prime }+2 y^{\prime \prime }-y^{\prime }+t y = 0 \]	✓	✓

1470	\[ {}\left (2-t \right ) y^{\prime \prime \prime }+\left (2 t -3\right ) y^{\prime \prime }-t y^{\prime }+y = 0 \]	✓	✓

1471	\[ {}t^{2} \left (3+t \right ) y^{\prime \prime \prime }-3 t \left (2+t \right ) y^{\prime \prime }+6 \left (t +1\right ) y^{\prime }-6 y = 0 \]	✓	✓

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

2107	\[ {}x^{3} y^{\prime \prime \prime }-x^{2} y^{\prime \prime }-2 x y^{\prime }+6 y = 0 \]	✓	✓

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

5.11.1 Problems 1 to 100