Problems 1 to 100

Table 4.595: Third and higher order ode


#	ODE	Mathematica	Maple	Sympy

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

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

332	\[ {} y^{\prime \prime \prime }+4 y^{\prime } = 3 x -1 \]	✓	✓	✓

333	\[ {} y^{\prime \prime \prime }+y^{\prime } = 2-\sin \left (x \right ) \]	✓	✓	✓

335	\[ {} y^{\prime \prime \prime \prime }-2 y^{\prime \prime }+y = {\mathrm e}^{x} x \]	✓	✓	✓

336	\[ {} y^{\left (5\right )}+5 y^{\prime \prime \prime \prime }-y = 17 \]	✓	✓	✓

339	\[ {} y^{\prime \prime \prime \prime }-y^{\prime \prime }+4 y = {\mathrm e}^{x}-x \,{\mathrm e}^{2 x} \]	✓	✓	✓

340	\[ {} y^{\left (5\right )}+2 y^{\prime \prime \prime }+2 y^{\prime \prime } = 3 x^{2}-1 \]	✓	✓	✓

341	\[ {} y^{\prime \prime \prime }-y = {\mathrm e}^{x}+7 \]	✓	✓	✓

343	\[ {} y^{\left (5\right )}-y^{\prime \prime \prime } = {\mathrm e}^{x}+2 x^{2}-5 \]	✓	✓	✓

345	\[ {} y^{\prime \prime \prime }-y^{\prime \prime }-12 y^{\prime } = x -2 x \,{\mathrm e}^{-3 x} \]	✓	✓	✓

348	\[ {} y^{\prime \prime \prime \prime }+5 y^{\prime \prime }+4 y = \sin \left (x \right )+\cos \left (2 x \right ) \]	✓	✓	✓

349	\[ {} y^{\prime \prime \prime \prime }+9 y^{\prime \prime } = \left (x^{2}+1\right ) \sin \left (3 x \right ) \]	✓	✓	✓

350	\[ {} y^{\prime \prime \prime \prime }-2 y^{\prime \prime }+y = x^{2} \cos \left (x \right ) \]	✓	✓	✓

356	\[ {} y^{\prime \prime \prime \prime }-4 y^{\prime \prime } = x^{2} \]	✓	✓	✓

357	\[ {} y^{\prime \prime \prime }-2 y^{\prime \prime }+y^{\prime } = 1+{\mathrm e}^{x} x \]	✓	✓	✓

359	\[ {} y^{\prime \prime \prime }+y^{\prime \prime } = x +{\mathrm e}^{-x} \]	✓	✓	✓

360	\[ {} y^{\prime \prime \prime \prime }-y = 5 \]	✓	✓	✓

361	\[ {} y^{\prime \prime \prime \prime }-y^{\prime \prime \prime }-y^{\prime \prime }-y^{\prime }-2 y = 8 x^{5} \]	✓	✓	✓

362	\[ {} y^{\prime \prime \prime \prime }+4 y = \cos \left (x \right )^{3} \]	✓	✓	✓

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

550	\[ {} x^{\prime \prime \prime \prime }+2 x^{\prime \prime }+x = {\mathrm e}^{2 t} \]	✓	✓	✓

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

1462	\[ {} y^{\prime \prime \prime \prime }+4 y^{\prime \prime \prime }+3 y = t \]	✓	✓	✓

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

4.8.1 Problems 1 to 100